254 Publikationen

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[254]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937867
On the Superposition Principle for Fokker-Planck-Kolmogorov Equations
Bogachev VI, Röckner M, Shaposhnikov SV (2019)
DOKLADY MATHEMATICS 100(1): 363-366.
PUB | DOI | WoS
 
[253]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937858
A MILD ITO FORMULA FOR SPDES
Da Prato G, Jentzen A, Röckner M (2019)
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372(6): 3755-3807.
PUB | DOI | WoS
 
[252]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937112
Absolutely continuous solutions for continuity equations in Hilbert spaces
Da Prato G, Flandoli F, Röckner M (2019)
Journal de Mathématiques Pures et Appliquées 128: 42-86.
PUB | DOI | WoS
 
[251]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936605
A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA
Röckner M, Zhu R, Zhu X (2019)
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 24(8): 4021-4030.
PUB | DOI | WoS
 
[250]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936025
A new approach to the existence of invariant measures for Markovian semigroups
Beznea L, Cimpean I, Röckner M (2019)
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 55(2): 977-1000.
PUB | DOI | WoS
 
[249]
2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2936013
Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems
Nendel M, Röckner M (2019) Center for Mathematical Economics Working Papers; 618.
Bielefeld: Center for Mathematical Economics.
PUB | PDF
 
[248]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
Scattering for stochastic nonlinear Schrödinger equations
Herr S, Röckner M, Zhang D (2019)
Communications in Mathematical Physics 368(2): 843–884.
PUB | DOI | Download (ext.) | WoS | arXiv
 
[247]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935865
Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures
Bogachev VI, Röckner M, Shaposhnikov SV (2019)
JOURNAL OF FUNCTIONAL ANALYSIS 276(12): 3681-3713.
PUB | DOI | WoS
 
[246]
2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2935374
On a Class of Infinite-Dimensional Singular Stochastic Control Problems
Federico S, Ferrari G, Riedel F, Röckner M (2019) Center for Mathematical Economics Working Papers; 614.
Bielefeld: Center for Mathematical Economics.
PUB | PDF
 
[245]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934374
NONLINEAR FOKKER-PLANCK EQUATIONS FOR PROBABILITY MEASURES ON PATH SPACE AND PATH-DISTRIBUTION DEPENDENT SDES
Huang X, Röckner M, Wang F-Y (2019)
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39(6): 3017-3035.
PUB | DOI | WoS
 
[244]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931261
Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations
Barbu V, Röckner M (2018)
SIAM Journal on Mathematical Analysis 50(4): 4246-4260.
PUB | DOI | WoS
 
[243]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931232
Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise
Barbu V, Röckner M (2018)
Journal of Differential Equations 265(10): 4993-5030.
PUB | DOI | WoS
 
[242]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
Liu W, Röckner M, da Silva JL (2018)
SIAM Journal on Mathematical Analysis 50(3): 2588-2607.
PUB | DOI | WoS
 
[241]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919313
Total variation flow perturbed by gradient linear multiplicative noise
Munteanu I, Röckner M (2018)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 21(1): 1850003 .
PUB | DOI | WoS
 
[240]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919046
Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents
Beznea L, Cimpean I, Röckner M (2018)
Stochastic Processes and their Applications 128(4): 1405-1437.
PUB | DOI | WoS
 
[239]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930270
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise
Barbu V, Röckner M, Zhang D (2018)
The Annals of Probability 46(4): 1957-1999.
PUB | DOI | WoS
 
[238]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920683
Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities
Röckner M, Wu W, Xie Y (2018)
Stochastic Processes and their Applications 128(6): 2131-2151.
PUB | DOI | WoS
 
[237]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931102
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces
Barbu V, Röckner M (2018)
Stochastics and Partial Differential Equations: Analysis and Computations 6(3): 500-524.
PUB | DOI | WoS
 
[236]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290
Stochastic heat equations with values in a Riemannian manifold
Röckner M, Wu B, Zhu R, Zhu X (2018)
Rendiconti Lincei - Matematica e Applicazioni 29(1): 205-213.
PUB | DOI | WoS
 
[235]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities
Grigoryan A, Ouyang S, Röckner M (2018)
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 736: 1-31.
PUB | DOI | WoS
 
[234]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932801
Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations
Bogachev VI, Röckner M, Shaposhnikov SV (2018)
DOKLADY MATHEMATICS 98(2): 452-457.
PUB | DOI | WoS
 
[233]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917179
Closability of quadratic forms associated to invariant probability measures of SPDEs
Röckner M, Wang F-Y (2017)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 20(4): 15.
PUB | DOI | WoS
 
[232]
2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2931386
Quantum Fields
Albeverio S, Röckner M, Yoshida MW (2017)
In: Let Us Use White Noise. Hida T, Streit L (Eds); New Jersey, London: World Scientific: 37-65.
PUB | DOI | Inspire
 
[231]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916350
Doubly probabilistic representation for the stochastic porous media type equation
Barbu V, Röckner M, Russo F (2017)
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53(4): 2043-2073.
PUB | DOI | WoS
 
[230]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914407
Global solutions to random 3D vorticity equations for small initial data
Barbu V, Röckner M (2017)
Journal of Differential Equations 263(9): 5395-5411.
PUB | DOI | WoS
 
[229]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2909443
The stochastic logarithmic Schrodinger equation
Barbu V, Röckner M, Zhang D (2017)
Journal de Mathématiques Pures et Appliquées 107(2): 123-149.
PUB | DOI | WoS
 
[228]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914999
Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case
Barbu V, Röckner M, Zhang D (2017)
Journal of Differential Equations 263(11): 7919-7940.
PUB | DOI | WoS
 
[227]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916113
A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise
Barbu V, Röckner M (2017)
Stochastics and Partial Differential Equations: Analysis and Computations 5(4): 457-471.
PUB | DOI | WoS
 
[226]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914679
Uniqueness for a class of stochastic Fokker-Planck and porous media equations
Röckner M, Russo F (2017)
Journal of Evolution Equations 17(3): 1049-1062.
PUB | DOI | WoS
 
[225]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757
Ergodicity for the Stochastic Quantization Problems on the 2D-Torus
Röckner M, Zhu R, Zhu X (2017)
Communications in Mathematical Physics 353(3): 1061-1090.
PUB | DOI | WoS
 
[224]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002
Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applications
Röckner M, Zhu R, Zhu X (2017)
Journal of Functional Analysis 272(10): 4263-4303.
PUB | DOI | WoS
 
[223]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486
STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Gess B, Röckner M (2017)
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369(5): 3017-3045.
PUB | DOI | WoS
 
[222]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift
Da Prato G, Flandoli F, Röckner M, Veretennikov AY (2016)
The Annals of Probability 44(3): 1985-2023.
PUB | DOI | WoS
 
[221]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904065
Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise
Barbu V, Röckner M (2016)
Stochastic Processes and their Applications 126(7): 2163-2179.
PUB | DOI | WoS
 
[220]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
Transition Semigroup
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 167-195.
PUB | DOI | WoS
 
[219]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917171
On the maximal inequalities of Burkholder, Davis and Gundy
Marinelli C, Röckner M (2016)
Expositiones Mathematicae 34(1): 1-26.
PUB | DOI | WoS
 
[218]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917135
Stochastic nonlinear Schrödinger equations
Barbu V, Röckner M, Zhang D (2016)
Nonlinear Analysis: Theory, Methods & Applications 136: 168-194.
PUB | DOI | WoS
 
[217]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2902117
Time inhomogeneous generalized Mehler semigroups and skew convolution equations
Ouyang S-X, Röckner M (2016)
Forum Mathematicum 28(2): 339-376.
PUB | DOI | WoS
 
[216]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907737
Non-symmetric distorted Brownian motion: Strong solutions, strong Feller property and non-explosion results
Röckner M, Shin J, Trutnau G (2016)
Discrete and Continuous Dynamical Systems. Series B 21(9): 3219-3237.
PUB | DOI | WoS
 
[215]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901305
About the infinite dimensional skew and obliquely reflected Ornstein-Uhlenbeck process
Röckner M, Trutnau G (2016)
Infinite Dimensional Analysis Quantum Probability and Related Topics 18(4): 1550031.
PUB | DOI | WoS
 
[214]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796
Equations with Lipschitz Nonlinearities
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer : 19-47.
PUB | DOI | WoS
 
[213]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations
Bogachev VI, Röckner M, Shaposhnikov SV (2016)
Journal of Functional Analysis 271(5): 1262-1300.
PUB | DOI | WoS
 
[212]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917155
Estimates of distances between transition probabilities of diffusions
Bogachev VI, Röckner M, Shaposhnikov SV (2016)
Doklady Mathematics 93(2): 135-139.
PUB | DOI | WoS
 
[211]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797
Equations with Maximal Monotone Nonlinearities
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer : 49-93.
PUB | DOI | WoS
 
[210]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798
Variational Approach to Stochastic Porous Media Equations
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 95-106.
PUB | DOI | WoS
 
[209]
2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2911795
Stochastic Porous Media Equations Preface
Barbu V, Da Prato G, Röckner M (Eds) (2016) Lecture Notes in Mathematics; 2163.
Cham: Springer.
PUB | DOI | WoS
 
[208]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794
Stochastic Porous Media Equations Introduction
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 1-18.
PUB | DOI | WoS
 
[207]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911800
The Stochastic Porous Media Equations in ℝd
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 133-165.
PUB | DOI | WoS
 
[206]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911799
L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 107-131.
PUB | DOI | WoS
 
[205]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2733472
Stochastic porous media equations in ℝd
Barbu V, Röckner M, Russo F (2015)
Journal de Mathématiques Pures et Appliquées 103(4): 1024-1052.
PUB | DOI | WoS
 
[204]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730756
A Milstein Scheme for SPDEs
Jentzen A, Röckner M (2015)
Foundations of Computational Mathematics 15(2): 313-362.
PUB | DOI | WoS
 
[203]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2780571
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
Barbu V, Röckner M (2015)
Journal of the European Mathematical Society 17(7): 1789-1815.
PUB | DOI | WoS
 
[202]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
An analytic approach to infinite-dimensional continuity and fokker-planck-kolmogorov equations
Bogachev VI, Da Prato G, Röckner M, Shaposhnikov SV (2015)
Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze 14(3): 983-1023.
PUB | DOI | WoS
 
[201]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786346
On the uniqueness of solutions to continuity equations
Bogachev VI, Da Prato G, Röckner M, Shaposhnikov SV (2015)
Journal of Differential Equations 259(8): 3854-3873.
PUB | DOI | WoS
 
[200]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901026
Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term
Da Prato G, Flandoli F, Priola E, Röckner M (2015)
Journal of Theoretical Probability 28(4): 1571-1600.
PUB | DOI | WoS
 
[199]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2736501
On the Existence of the Dual Right Markov Process and Applications
Beznea L, Röckner M (2015)
Potential Analysis 42(3): 617-627.
PUB | DOI | WoS
 
[198]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2772441
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions
Röckner M, Zhu R, Zhu X (2015)
Nonlinear Analysis Theory Methods & Applications 125: 358-397.
PUB | DOI | WoS
 
[197]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461
BV functions in a Gelfand triple for differentiable measure and its applications
Röckner M, Zhu R, Zhu X (2015)
Forum Mathematicum 27(3): 1657-1687.
PUB | DOI | WoS
 
[196]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2759912
Sub and supercritical stochastic quasi-geostrophic equation
Röckner M, Zhu R, Zhu X (2015)
The Annals of Probability 43(3): 1202-1273.
PUB | DOI | WoS
 
[195]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045
Singular-degenerate Multivalued Stochastic Fast Diffusion Equations
Gess B, Röckner M (2015)
Siam Journal on Mathematical Analysis 47(5): 4058-4090.
PUB | DOI | WoS
 
[194]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685876
Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach
Barbu V, Röckner M, Zhang D (2014)
Journal of Nonlinear Science 24(3): 383-409.
PUB | DOI | WoS
 
[193]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2673605
On continuity equations in infinite dimensions with non-Gaussian reference measure
Kolesnikov AV, Röckner M (2014)
Journal of Functional Analysis 266(7): 4490-4537.
PUB | DOI | WoS
 
[192]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412
A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z)
Albeverio S, Röckner M, Yoshida MW (2014)
Infinite Dimensional Analysis Quantum Probability and Related Topics 17(1): 1450002.
PUB | DOI | WoS
 
[191]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699769
On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution
Bogachev VI, Röckner M, Shaposhnikov SV (2014)
Doklady Mathematics 90(1): 424-428.
PUB | DOI | WoS
 
[190]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660829
On parabolic inequalities for generators of diffusions with jumps
Bogachev VI, Röckner M, Shaposhnikov SV (2014)
Probability Theory and Related Fields 158(1-2): 465-476.
PUB | DOI | WoS
 
[189]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627
A note on stochastic semilinear equations and their associated Fokker-Planck equations
Röckner M, Zhu R, Zhu X (2014)
Journal of Mathematical Analysis and Applications 415(1): 83-109.
PUB | DOI | WoS
 
[188]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363
Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise
Röckner M, Zhu R, Zhu X (2014)
Stochastic Processes and their Applications 124(5): 1974-2002.
PUB | DOI | WoS
 
[187]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612709
Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise
Barbu V, Röckner M (2013)
Archive For Rational Mechanics And Analysis 209(3): 797-834.
PUB | DOI | WoS
 
[186]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625721
On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations
Bogachev VI, Röckner M, Shaposhnikov SV (2013)
Journal Of Evolution Equations 13(3): 577-593.
PUB | DOI | WoS
 
[185]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548347
Local and global well-posedness of SPDE with generalized coercivity conditions
Liu W, Röckner M (2013)
Journal Of Differential Equations 254(2): 725-755.
PUB | DOI | WoS
 
[184]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584618
General extinction results for stochastic partial differential equations and applications
Röckner M, Wang F-Y (2013)
Journal Of The London Mathematical Society 87(2): 545-560.
PUB | DOI | WoS
 
[183]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635459
Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces
Hinz M, Röckner M, Teplyaev A (2013)
Stochastic Processes And Their Applications 123(12): 4373-4406.
PUB | DOI | WoS
 
[182]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612720
Large deviation principles for the stochastic quasi-geostrophic equations
Liu W, Röckner M, Zhu X-C (2013)
Stochastic Processes And Their Applications 123(8): 3299-3327.
PUB | DOI | WoS
 
[181]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2607125
The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise
Barbu V, Röckner M (2013)
Journal Of Differential Equations 255(3): 560-571.
PUB | DOI | WoS
 
[180]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635507
Stochastic generalized porous media equations with reflection
Röckner M, Wang F-Y, Zhang T (2013)
Stochastic Processes And Their Applications 123(11): 3943-3962.
PUB | DOI | WoS
 
[179]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2636018
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
Da Prato G, Flandoli F, Priola E, Röckner M (2013)
The Annals Of Probability 41(5): 3306-3344.
PUB | DOI | WoS
 
[178]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584527
Gibbs states over the cone of discrete measures
Hagedorn D, Kondratiev Y, Pasurek T, Röckner M (2013)
Journal Of Functional Analysis 264(11): 2550-2583.
PUB | DOI | WoS
 
[177]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560367
Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities
Da Prato G, Röckner M (2012)
Rendiconti Lincei - Matematica E Applicazioni 23(4): 361-376.
PUB | DOI | WoS
 
[176]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2530570
On Positive and Probability Solutions to the Stationary Fokker-Planck-Kolmogorov Equation
Bogachev VI, Röckner M, Shaposhnikov SV (2012)
Doklady Mathematics 85(3): 350-354.
PUB | DOI | WoS
 
[175]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2489444
Localization of solutions to stochastic porous media equations: finite speed of propagation
Barbu V, Röckner M (2012)
Electronic Journal of Probability 17: 10.
PUB | DOI | WoS
 
[174]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493091
Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise
Barbu V, Da Prato G, Röckner M (2012)
Journal of Mathematical Analysis and Applications 389(1): 147-164.
PUB | DOI | WoS
 
[173]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2474345
Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump
Ouyang S-X, Röckner M, Wang F-Y (2012)
Potential Analysis 36(2): 301-315.
PUB | DOI | WoS
 
[172]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454701
Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise
Jentzen A, Röckner M (2012)
Journal of Differential Equations 252(1): 114-136.
PUB | DOI | WoS
 
[171]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493118
Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions
Barbu V, Röckner M (2012)
Communications in Mathematical Physics 311(2): 539-555.
PUB | DOI | WoS
 
[170]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454705
Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles
Röckner M, Zhang T (2012)
Journal of Differential Equations 252(1): 716-744.
PUB | DOI | WoS
 
[169]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923
STOCHASTIC QUASI-GEOSTROPHIC EQUATION
Röckner M, Zhu R, Zhu X (2012)
Infinite Dimensional Analysis Quantum Probability and Related Topics 15(1): 1250001.
PUB | DOI | WoS
 
[168]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756
The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple
Röckner M, Zhu R, Zhu X (2012)
The Annals of Probability 40(4): 1759-1794.
PUB | DOI | WoS
 
[167]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548494
GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH
Kondratiev Y, Pasurek T, Röckner M (2012)
Reviews In Mathematical Physics 24(10).
PUB | DOI | WoS
 
[166]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394382
On a random scaled porous media equation
Barbu V, Röckner M (2011)
Journal of Differential Equations 251(9): 2494-2514.
PUB | DOI | WoS
 
[165]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454846
Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case
Barbu V, Röckner M, Russo F (2011)
Probability Theory and Related Fields 151(1-2): 1-43.
PUB | DOI | WoS
 
[164]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394377
Potential theory of infinite dimensional Levy processes
Beznea L, Cornea A, Röckner M (2011)
Journal of Functional Analysis 261(10): 2845-2876.
PUB | DOI | WoS
 
[163]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394401
Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities
Beznea L, Röckner M (2011)
Complex Analysis and Operator Theory 5(3): 731-741.
PUB | DOI | WoS
 
[162]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2093770
Dimension-Independent Harnack Inequalities for Subordinated Semigroups
Gordina M, Röckner M, Wang F-Y (2011)
Potential Analysis 34(3): 293-307.
PUB | DOI | WoS
 
[161]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2440773
From resolvents to cadlag processes through compact excessive functions and applications to singular SDE on Hilbert spaces
Beznea L, Röckner M (2011)
Bulletin des Sciences Mathématiques 135(6-7): 844-870.
PUB | DOI | WoS
 
[160]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388
The Global Random Attractor for a Class of Stochastic Porous Media Equations
Beyn W-J, Gess B, Lescot P, Röckner M (2011)
Communications in Partial Differential Equations 36(3): 446-469.
PUB | DOI | WoS
 
[159]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041
Random attractors for a class of stochastic partial differential equations driven by general additive noise
Gess B, Liu W, Röckner M (2011)
Journal of Differential Equations 251(4-5): 1225-1253.
PUB | DOI | WoS
 
[158]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929609
On uniqueness of mild solutions for dissipative stochastic evolution equations
Marinelli C, Röckner M (2010)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 13(3): 363-376.
PUB | DOI | WoS
 
[157]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796284
Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients
Röckner M, Zhang X (2010)
Comptes Rendus Mathematique 348(7-8): 435-438.
PUB | DOI | WoS
 
[156]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1793861
SPDE in Hilbert space with locally monotone coefficients
Liu W, Röckner M (2010)
Journal of Functional Analysis 259(11): 2902-2922.
PUB | DOI | WoS
 
[155]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589498
Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise
Marinelli C, Prévôt C, Röckner M (2010)
Journal of Functional Analysis 258(2): 616-649.
PUB | DOI | WoS
 
[154]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929203
Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise
Marinelli C, Röckner M (2010)
Electronic Journal of Probability 15: 1528-1555.
PUB | WoS
 
[153]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588937
Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations
Röckner M, Zhang T, Zhang X (2010)
Applied Mathematics and Optimization 61(2): 267-285.
PUB | DOI | WoS
 
[152]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794324
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces
Bogachev V, Da Prato G, Röckner M (2010)
Journal of Evolution Equations 10(3): 487-509.
PUB | DOI | WoS
 
[151]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796081
LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES
Röckner M, Wang F-Y (2010)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 13(1): 27-37.
PUB | DOI | WoS
 
[150]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087
BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space
Röckner M, Zhu R, Zhu X (2010)
Comptes Rendus Mathematique 348(21-22): 1175-1178.
PUB | DOI | WoS
 
[149]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1590687
Stochastic Nonlinear Diffusion Equations with Singular Diffusivity
Barbu V, Da Prato G, Röckner M (2009)
SIAM Journal on Mathematical Analysis 41(3): 1106-1120.
PUB | DOI | WoS
 
[148]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796390
Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity
Röckner M, Zhang X (2009)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 12(4): 525-549.
PUB | DOI | WoS
 
[147]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633336
Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity
Röckner M, Zhang X (2009)
Probability Theory and Related Fields 145(1-2): 211-267.
PUB | DOI | WoS
 
[146]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634128
Martingale solutions and Markov selections for stochastic partial differential equations
Goldys B, Röckner M, Zhang X (2009)
Stochastic Processes and their Applications 119(5): 1725-1764.
PUB | DOI | WoS
 
[145]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633319
Lower estimates of densities of solutions of elliptic equations for measures
Bogachev VI, Röckner M, Shaposhnikov SV (2009)
Doklady Mathematics 79(3): 329-334.
PUB | DOI | WoS
 
[144]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591586
A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class
Röckner M, Wang Y (2009)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 12(2): 353-358.
PUB | DOI | WoS
 
[143]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633933
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
Barbu V, Da Prato G, Röckner M (2009)
Annals of Probability 37(2): 428-452.
PUB | DOI | WoS
 
[142]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589155
Nonlinear evolution and transport equations for measures
Bogachev VI, Röckner M, Shaposhnikov SV (2009)
Doklady Mathematics 80(3): 785-789.
PUB | DOI | WoS
 
[141]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636211
Stochastic Porous Media Equations and Self-Organized Criticality
Barbu V, Da Prato G, Röckner M (2009)
Communications in Mathematical Physics 285(3): 901-923.
PUB | DOI | WoS
 
[140]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591777
Positive Densities of Transition Probabilities of Diffusion Processes
Bogachev VI, Röckner M, Shaposhnikov SV (2009)
Theory of Probability & Its Applications 53(2): 194-215.
PUB | DOI | WoS
 
[139]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635920
Finite time extinction for solutions to fast diffusion stochastic porous media equations
Barbu V, Da Prato G, Röckner M (2009)
Comptes Rendus Mathematique 347(1-2): 81-84.
PUB | DOI | WoS
 
[138]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704
Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces
Bogachev VI, Da Prato G, Röckner M (2009)
Journal of Functional Analysis 256(4): 1269-1298.
PUB | DOI | WoS
 
[137]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795496
Elliptic and parabolic equations for measures
Bogachev VI, Krylov NV, Röckner M (2009)
Russian Mathematical Surveys 64(6): 973-1078.
PUB | DOI | WoS
 
[136]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636506
Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes
Bogachev VI, Röckner M, Shaposhnikov SV (2008)
Theory of Probability & Its Applications 52(2): 209-236.
PUB | DOI | WoS
 
[135]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592104
Existence and uniqueness of nonnegative solutions to the stochastic porous media equation
Barbu V, Da Prato G, Röckner M (2008)
Indiana University Mathematics Journal 57(1): 187-211.
PUB | DOI | WoS
 
[134]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588038
Infinite dimensional Kolmogorov operators with time dependent drift coefficients
Bogachev VI, Da Prato G, Röckner M (2008)
Doklady Mathematics 77(2): 276-280.
PUB | DOI | WoS
 
[133]
2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1587187
Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions
Röckner M, Schmuland B, Zhang X (2008)
Condensed Matter Physics 11(2): 247-259.
PUB | WoS
 
[132]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636734
Non-monotone stochastic generalized porous media equations
Röckner M, Wang F-Y (2008)
Journal of Differential Equations 245(12): 3898-3935.
PUB | DOI | WoS
 
[131]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586510
Parabolic equations for measures on infinite-dimensional spaces
Bogachev VI, Da Prato G, Röckner M (2008)
Doklady Mathematics 78(1): 544-549.
PUB | DOI | WoS
 
[130]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592500
On parabolic equations for measures
Bogachev VI, Da Prato G, Röckner M (2008)
Communications in Partial Differential Equations 33(3): 397-418.
PUB | DOI | WoS
 
[129]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592122 PUB | DOI | WoS
 
[128]
2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1636273
Non-equilibrium stochastic dynamics in continuum: The free case
Kondratiev Y, Lytvynov E, Röckner M (2008)
CONDENSED MATTER PHYSICS 11(4): 701-721.
PUB | WoS
 
[127]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
Weak and Strong Solutions: the Yamada-Watanabe Theorem
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 121-132.
PUB | WoS
 
[126]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526
The Bochner Integral
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 105-108.
PUB | WoS
 
[125]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520
Stochastic Differential Equations in Finite Dimensions
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 43-54.
PUB | DOI | WoS
 
[124]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
Pseudo Inverse of Linear Operators
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 115-117.
PUB | WoS
 
[123]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594879
Kusuoka-stroock formula on configuration space and regularities of local times with jumps
Ren J, Röckner M, Zhang X (2007)
Potential Analysis 26(4): 363-396.
PUB | DOI | WoS
 
[122]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595371 PUB | DOI | WoS
 
[121]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592663
A remark on the generator of a right-continuous Markov process
Röckner M, Trutnau G (2007)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 10(4): 633-640.
PUB | DOI | WoS
 
[120]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529
Nuclear and Hilbert-Schmidt Operators
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 109-113.
PUB | WoS
 
[119]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535
Some Tools from Real Martingale Theory
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 119-119.
PUB | WoS
 
[118]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541
Strong, Mild and Weak Solutions
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 133-136.
PUB | WoS
 
[117]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514
Motivation, Aims and Examples
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berling: Springer: 1-4.
PUB | DOI | WoS
 
[116]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523
A Class of Stochastic Differential Equations
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin ; Heidelberg: Springer: 55-103.
PUB | DOI | WoS
 
[115]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517
The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion)
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin ; Heidelberg: Springer: 5-42.
PUB | DOI | WoS
 
[114]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1632672
Uniqueness of solutions to weak parabolic equations for measures
Bogachev VI, Da Prato G, Röckner M, Stannat W (2007)
Bulletin of the London Mathematical Society 39(4): 631-640.
PUB | DOI | WoS
 
[113]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631495
Equilibrium Kawasaki dynamics of continuous particle systems
Kondratiev Y, Lytvynov E, Röckner M (2007)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 10(2): 185-209.
PUB | DOI | WoS
 
[112]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596324
N/V-limit for stochastic dynamics in continuous particle systems
Grothaus M, Kondratiev Y, Röckner M (2007)
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 121-160.
PUB | DOI | WoS
 
[111]
2006 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1872394
Gradient bounds for solutions of elliptic and parabolic equations
Bogachev VI, Da Prato G, Röckner M, Sobol Z (2006)
In: Stochastic Differential Equations and Applications - VII. Da Prato G, Tubaro L (Eds); Lecture notes in pure and applied mathematics, 245. Boca Raton: Chapman & Hall/CRC: 27-34.
PUB | Download (ext.)
 
[110]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596907
Markov processes associated with L-p-resolvents and applications to stochastic differential equations on Hilbert space
Beznea L, Boboc N, Röckner M (2006)
Journal of Evolution Equations 6(4): 745-772.
PUB | DOI | WoS
 
[109]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597497
Quasi-regular Dirichlet forms and L-p-resolvents on measurable spaces
Beznea L, Boboc N, Röckner M (2006)
Potential Analysis 25(3): 269-282.
PUB | DOI | WoS
 
[108]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596393
Large deviations for stochastic generalized porous media equations
Röckner M, Wang F-Y, Wu L (2006)
Stochastic Processes and their Applications 116(12): 1677-1689.
PUB | DOI | WoS
 
[107]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599439
Functional inequalities for particle systems on Polish spaces
Röckner M, Wang F-Y (2006)
Potential Analysis 24(3): 223-243.
PUB | DOI | WoS
 
[106]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599008
Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case
Barbu V, Bogachev VI, Da Prato G, Röckner M (2006)
Journal of Functional Analysis 237(1): 54-75.
PUB | DOI | WoS
 
[105]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1874564 PUB | DOI | Download (ext.)
 
[104]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893
Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity
Da Prato G, Röckner M, Rozovskii BL, Wang F-Y (2006)
Communications in Partial Differential Equations 31(2): 277-291.
PUB | DOI | WoS
 
[103]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599748
Infinite interacting diffusion particles I: Equilibrium process and its scaling limit
Kondratiev Y, Lytvynov E, Röckner M (2006)
FORUM MATHEMATICUM 18(1): 9-43.
PUB | DOI | WoS
 
[102]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605208
Strong solutions of stochastic equations with singular time dependent drift
Krylov NV, Röckner M (2005)
Probability Theory and Related Fields 131(2): 154-196.
PUB | DOI | WoS
 
[101]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600780
Regularity and global bounds of densities of invariant measures of diffusion processes
Bogachev VI, Krylov NV, Röckner M (2005)
Doklady Mathematics 72(3): 934-938.
PUB | WoS
 
[100]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872405
Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices
Bernabei S, Röckner M, Yoshida MIW, Albeverio S (2005)
Comptes Rendus Mathematique 341(11): 675-678.
PUB | DOI
 
[99]
2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1872422
A remark on sets in infinite dimensional spaces with full or zero capacity
Ren J, Röckner M (2005)
In: Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory. Singapore: World Scientific: 177-186.
PUB | Download (ext.)
 
[98]
2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1874572
PDE Approach to Invariant and Gibbs Measures with Applications
Röckner M (2005)
In: Infinite Dimensional Harmonic Analysis III. Heyer H (Ed); Hackensack, N.J: World Scientific.
PUB | Download (ext.)
 
[97]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605081
Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
Cerrai S, Röckner M (2005)
Annales de l'Institut Henri Poincare (B) Probability and Statistics 41(1): 69-105.
PUB | DOI | WoS
 
[96]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430
Global regularity and bounds for solutions of parabolic equations for probability measures
Bogachev VI, Röckner M, Shaposhnikov SV (2005)
SIAM Theory of Probability and its Applications 50(4): 561-581.
PUB | DOI | Download (ext.)
 
[95]
2005 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1874610
Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and A-Priori Estimates
Albeverio S, Röckner M, Pasurek T, Kondratiev Y (2005)
In: Interacting Stochastic Systems. Deuschel J-D (Ed); Berlin: Springer: 29-54.
PUB
 
[94]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608612
On the spectrum of a class of non-sectorial diffusion operators
Röckner M, Wang F-Y (2004)
Bulletin of the London Mathematical Society 36(1): 95-104.
PUB | DOI | WoS
 
[93]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606483
Global gradient bounds for dissipative diffusion operators
Bogachev VI, Da Prato G, Röckner M, Sobol Z (2004)
Comptes Rendus Mathematique 339(4): 277-282.
PUB | DOI | WoS
 
[92]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607633 PUB | DOI | WoS
 
[91]
2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234
Invariant Measures for a Stochastic Porous Medium Equation
Da Prato G, Röckner M (2004)
In: Stochastic Analysis and Related Topics. Kunita H, Watanabe S, Takahashi Y (Eds); Advanced studies in pure mathematics, 41. Tokyo: Mathematical Soc. of Japan: 13-29.
PUB | DOI
 
[90]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607410
Invariant measures of generalized stochastic porous medium equations
Bogachev VI, Da Prato G, Röckner M (2004)
Doklady Mathematics 69(3): 321-325.
PUB | WoS
 
[89]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607686
Weak solutions to stochastic porous media equations
Da Prato G, Röckner M (2004)
Journal of Evolution Equations 4(2): 249-271.
PUB | DOI | WoS
 
[88]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606613
Sample path large deviations for diffusion processes on configuration spaces over a Riemannian manifold
Röckner M, Zhang TS (2004)
Publications of the Research Institute for Mathematical Sciences 40(2): 385-427.
PUB | DOI | WoS
 
[87]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607414
Invariance implies Gibbsian: Some new results
Bogachev VI, Röckner M, Wang F-Y (2004)
Communications in Mathematical Physics 248(2): 335-355.
PUB | DOI | WoS
 
[86]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608272 PUB | WoS
 
[85]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607902
Existence of solutions to weak parabolic equations for measures
Bogachev VI, Da Prato G, Röckner M (2004)
Proceedings of the London Mathematical Society 88(3): 753-774.
PUB | DOI | WoS
 
[84]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609133 PUB | DOI | WoS
 
[83]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607625
Uniqueness of diffusion generators for two types of particle systems with singular interactions
Kondratiev Y, Konstantinov AY, Röckner M (2004)
JOURNAL OF FUNCTIONAL ANALYSIS 212(2): 357-372.
PUB | DOI | WoS
 
[82]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608071
On diffusion dynamics for continuous systems with singular superstable interaction
Kondratiev Y, Rebenko AL, Röckner M (2004)
JOURNAL OF MATHEMATICAL PHYSICS 45(5): 1826-1848.
PUB | DOI | WoS
 
[81]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608265
Euclidean Gibbs measures on loop lattices: Existence and a priori estimates
Albeverio S, Kondratiev Y, Pasurek T, Röckner M (2004)
ANNALS OF PROBABILITY 32(1A): 153-190.
PUB | WoS
 
[80]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609893
Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds
Röckner M, Wang F-Y (2003)
Forum Mathematicum 15(6): 893-921.
PUB | DOI | WoS
 
[79]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609835
On L-P-uniqueness of symmetric diffusion operators on Riemannian manifolds
Bogachev VI, Röckner M (2003)
Sbornik: Mathematics 194(7-8): 969-978.
PUB | DOI | WoS
 
[78]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609600
Large deviations for invariant measures of general stochastic reaction-diffusion systems
Cerrai S, Röckner M (2003)
Comptes Rendus Mathematique 337(9): 597-602.
PUB | DOI | WoS
 
[77]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612172
Lower order perturbations of Dirichlet processes
Röckner M, Zhang TS (2003)
Forum Mathematicum 15(2): 285-297.
PUB | DOI | WoS
 
[76]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610471
Harnack and functional inequalities for generalized Mehler semigroups
Röckner M, Wang F-Y (2003)
Journal of Functional Analysis 203(1): 237-261.
PUB | DOI | WoS
 
[75]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611843
Quantum stabilization in anharmonic crystals
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2003)
PHYSICAL REVIEW LETTERS 90(17): 170603.
PUB | DOI | WoS | PubMed | Europe PMC
 
[74]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612204
The heat semigroup on configuration spaces
Kondratiev Y, Lytvynov E, Röckner M (2003)
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 39(1): 1-48.
PUB | DOI | WoS
 
[73]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611030
Scaling limit of stochastic dynamics in classical continuous systems
Grothaus M, Kondratiev Y, Lytvynov E, Röckner M (2003)
ANNALS OF PROBABILITY 31(3): 1494-1532.
PUB | WoS
 
[72]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609941
Small mass implies uniqueness of Gibbs states of a quantum crystal
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2003)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 241(1): 69-90.
PUB | DOI | WoS
 
[71]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613244
Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
Bogachev VI, Röckner M, Stannat W (2002)
Sbornik: Mathematics 193(7-8): 945-976.
PUB | DOI | WoS
 
[70]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613192
Singular dissipative stochastic equations in Hilbert spaces
Da Prato G, Röckner M (2002)
Probability Theory and Related Fields 124(2): 261-303.
PUB | DOI | WoS
 
[69]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613297
Generators of mehler-type semigroups as pseudo-differential operators
Lescot P, Röckner M (2002)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 5(3): 297-315.
PUB | DOI | WoS
 
[68]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613047
Surface measures and tightness of Sobolev capacities on Poisson space
Bogachev VI, Pugachev OV, Röckner M (2002)
Doklady Mathematics 66(2): 157-160.
PUB | WoS
 
[67]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613006
Surface measures and tightness of (r,p)-capacities on Poisson space
Bogachev VI, Pugachev OV, Röckner M (2002)
Journal of Functional Analysis 196(1): 61-86.
PUB | DOI | WoS
 
[66]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613051
Invariant measures of stochastic gradient systems in Riemannian manifolds and Gibbs measures
Bogachev VI, Wang FY, Röckner M (2002)
Doklady Mathematics 66(2): 179-183.
PUB | WoS
 
[65]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613055
On weak parabolic equations for probability measures
Bogachev VI, Da Prato G, Röckner M (2002)
Doklady Mathematics 66(2): 192-196.
PUB | WoS
 
[64]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612751
Euclidean Gibbs states of quantum lattice systems
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2002)
REVIEWS IN MATHEMATICAL PHYSICS 14(12): 1335-1401.
PUB | DOI | WoS
 
[63]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612947
Gibbs states of a quantum crystal: uniqueness by small particle mass
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2002)
COMPTES RENDUS MATHEMATIQUE 335(8): 693-698.
PUB | DOI | WoS
 
[62]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616121
Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups
Röckner M, Wang F-Y (2001)
Journal of Functional Analysis 185(2): 564-603.
PUB | DOI | WoS
 
[61]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617681
Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions
Bogachev V, Röckner M, Wang F-Y (2001)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 332(4): 333-338.
PUB | DOI | WoS
 
[60]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615560
On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions
Bogachev VI, Krylov NV, Röckner M (2001)
Communications in Partial Differential Equations 26(11-12): 2037-2080.
PUB | WoS
 
[59]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617720
Differentiability of the invariant measures and transition probabilities of singular diffusions
Bogachev VP, Krylov NV, Röckner M (2001)
Doklady Mathematics 63(1): 18-21.
PUB | WoS
 
[58]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616117
Poincaré inequality for weighted first order Sobolev spaces on loop spaces
Gong F, Röckner M, Liming W (2001)
Journal of Functional Analysis 185(2): 527-563.
PUB | DOI | WoS
 
[57]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617754
Elliptic equations for invariant measures on finite and infinite dimensional manifolds
Bogachev VI, Röckner M, Wang F-Y (2001)
Journal de Mathématiques Pures et Appliquées 80(2): 177-221.
PUB | DOI | WoS
 
[56]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616748
Elliptic equations associated with invariant measures of diffusions on finite- and infinite-dimensional manifolds
Bogachev VI, Wang FY, Röckner M (2001)
Doklady Mathematics 63(3): 351-354.
PUB | WoS
 
[55]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616354
Elliptic equations for measures on infinite dimensional spaces and applications
Bogachev VI, Röckner M (2001)
Probability Theory and Related Fields 120(4): 445-496.
PUB | DOI | WoS
 
[54]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484
Gauss formula and symmetric extensions of the Laplacian on configuration spaces
Finkelshtein DL, Kondratiev Y, Röckner M, Konstantinov AY (2001)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 4(4): 489-509.
PUB | DOI | WoS
 
[53]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616247
Stochastic dynamics of fluctuations in classical continuous systems
Albeverio S, Grothaus M, Kondratiev Y, Röckner M (2001)
JOURNAL OF FUNCTIONAL ANALYSIS 185(1): 129-154.
PUB | DOI | WoS
 
[52]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617829
On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems
da Silva J, Kondratiev Y, Röckner M (2001)
MATHEMATISCHE NACHRICHTEN 222: 141-157.
PUB | DOI | WoS
 
[51]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615500
Gibbs states on loop lattices: existence and a priori estimates
Albeverio S, Kondratiev Y, Pasurek T, Röckner M (2001)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 333(11): 1005-1009.
PUB | DOI | WoS
 
[50]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617918
Uniqueness for Gibbs measures of quantum lattices in small mass regime
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2001)
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 37(1): 43-69.
PUB | DOI | WoS
 
[49]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616433
A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts
Bogachev V, Röckner M (2000)
Theory of Probability & Its Applications 45(3): 363-378.
PUB | DOI | WoS
 
[48]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619467
Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications
Ren J, Röckner M (2000)
Probability Theory and Related Fields 117(2): 201-220.
PUB | DOI | WoS
 
[47]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621240
Existence and uniqueness of invariant measures: An approach via sectorial forms
Bogachev V, Röckner M, Zhang TS (2000)
Applied Mathematics and Optimization 41(1): 87-109.
PUB | DOI | WoS
 
[46]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620587
Generalized Mehler semigroups: The non-Gaussian case
Fuhrman M, Röckner M (2000)
Potential Analysis 12(1): 1-47.
PUB | DOI | WoS
 
[45]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619161
Construction of diffusions on configuration spaces
Ma Z-M, Röckner M (2000)
Osaka Journal of Mathematics 37(2): 273-314.
PUB | WoS
 
[44]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617639
Approximation of Hunt processes by multivariate Poisson processes
Ma Z-M, Röckner M, Sun W (2000)
Acta Applicandae Mathematica 63(1-3): 233-243.
PUB | DOI | WoS
 
[43]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617634
Stochastic dynamics of compact spins: Ergodicity and irreducibility
Albeverio S, Daletskii A, Kondratiev Y, Röckner M (2000)
ACTA APPLICANDAE MATHEMATICAE 63(1-3): 27-40.
PUB | DOI | WoS
 
[42]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620414
A priori estimates for symmetrizing measures and their applications to Gibbs states
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (2000)
JOURNAL OF FUNCTIONAL ANALYSIS 171(2): 366-400.
PUB | DOI | WoS
 
[41]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659
Dirichlet operators with variable coefficients in L-p-spaces of functions of infinitely many variables coefficients
Liskevich V, Sobol Z, Röckner M (1999)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(4): 487-502.
PUB | DOI | WoS
 
[40]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621467
Elliptic equations for infinite dimensional probability distributions and Lyapunov functions
Bogachev V, Röckner M (1999)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329(8): 705-710.
PUB | DOI | WoS
 
[39]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623139
The martingale problem for pseudo-differential operators on infinite-dimensional spaces
Bogachev V, Lescot P, Röckner M (1999)
Nagoya Mathematical Journal 153: 101-118.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620925
Rademacher's theorem on configuration spaces and applications
Röckner M, Schied A (1999)
Journal of Functional Analysis 169(2): 325-356.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621097
Probabilistic representations and hyperbound estimates for semigroups
Röckner M, Zhang TS (1999)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(3): 337-358.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622169
Stochastic quantization of the two-dimensional polymer measure
Albeverio S, Hu YZ, Röckner M, Zhou XY (1999)
Applied Mathematics and Optimization 40(3): 341-354.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623685
On uniqueness of invariant measures for finite- and infinite-dimensional diffusions
Albeverio S, Bogachev V, Röckner M (1999)
Communications on Pure and Applied Mathematics 52(3): 325-362.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623534
Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory
Albeverio S, Kondratiev Y, Röckner M (1999)
REVIEWS IN MATHEMATICAL PHYSICS 11(1): 1-23.
PUB | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622749
A-priori estimates and existence of Gibbs measures: a simplified proof
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1999)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 328(11): 1049-1054.
PUB | DOI | WoS
 
[32]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622857
Scattering problem for local perturbations of the free quantum gas
Kondratiev Y, Konstantinov AY, Röckner M, Shchepan'uk GV (1999)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 203(2): 421-444.
PUB | DOI | WoS
 
[31]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622370
Fluctuations and their Glauber dynamics in lattice systems
Albeverio S, Daletskii A, Kondratiev Y, Röckner M (1999)
JOURNAL OF FUNCTIONAL ANALYSIS 166(1): 148-167.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625592
Approximation of arbitrary Dirichlet processes by Markov chains
Ma Z-M, Röckner M, Zhang T-S (1998)
Annales de l'Institut Henri Poincare (B) Probability and Statistics 34(1): 1-22.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626293
A support property for infinite-dimensional interacting diffusion processes
Röckner M, Schmuland B (1998)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 326(3): 359-364.
PUB | DOI | WoS
 
[28]
1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927
Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results
Röckner M (1998)
In: New Directions in Dirichlet Forms. Jost J (Ed); Studies in Advances Mathematics. Providence, RI: American Mathematical Society: 157-231.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916
Strong Uniqueness for a Class of Intinite Dimensional Dirichlet Operators and Applications to Stochastic Quantization
Liskevich VI, Röckner M (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4 27(1): 69-91.
PUB
 
[26]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625042
Analysis and geometry on configuration spaces: The Gibbsian case
Albeverio S, Kondratiev Y, Röckner M (1998)
JOURNAL OF FUNCTIONAL ANALYSIS 157(1): 242-291.
PUB | DOI | WoS
 
[25]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625675
Analysis and geometry on configuration spaces
Albeverio S, Kondratiev Y, Röckner M (1998)
JOURNAL OF FUNCTIONAL ANALYSIS 154(2): 444-500.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626150
Convergence of operators semigroups generated by elliptic operators
Röckner M, Zhang TS (1997)
Osaka Journal of Mathematics 34(4): 923-932.
PUB | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628151
Partitions of unity in Sobolev spaces over infinite dimensional state spaces
Albeverio S, Ma Z-M, Röckner M (1997)
Journal of Functional Analysis 143(1): 247-268.
PUB | DOI | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627421
Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states
Albeverio S, Kondratiev Y, Röckner M (1997)
JOURNAL OF FUNCTIONAL ANALYSIS 149(2): 415-&.
PUB | DOI | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1637772
Ergodicity of L(2)-semigroups and extremality of Gibbs states
Albeverio S, Kondratiev Y, Röckner M (1997)
JOURNAL OF FUNCTIONAL ANALYSIS 144(2): 394-423.
PUB | DOI | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627885
Uniqueness of Gibbs states for quantum lattice systems
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
PROBABILITY THEORY AND RELATED FIELDS 108(2): 193-218.
PUB | DOI | WoS
 
[19]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626717
Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 189(2): 621-630.
PUB | DOI | WoS
 
[18]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627324
Uniqueness of Gibbs states on loop lattices
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 324(12): 1401-1406.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638991
Generalized Mehler semigroups and applications
Bogachev VI, Röckner M, Schmuland B (1996)
Probability Theory and Related Fields 105(2): 193-225.
PUB | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1]
Lyons TJ, Röckner M, Zhang TS (1996)
Stochastic Processes and their Applications 64(1): 31-38.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
Regularity of invariant measures: The case of non-constant diffusion part
Bogachev VI, Krylov N, Röckner M (1996)
Journal of Functional Analysis 138(1): 223-242.
PUB | DOI | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628627
Differential geometry of Poisson spaces
Albeverio S, Kondratiev Y, Röckner M (1996)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 323(10): 1129-1134.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628378
Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces
Albeverio S, Kondratiev Y, Röckner M (1996)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 323(11): 1179-1184.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications
Bogachev VI, Röckner M (1995)
Journal of Functional Analysis 133(1): 168-223.
PUB | DOI | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640337
Markov Processes Associated With Positivity Preserving Coercive Forms
Ma Z-M, Röckner M (1995)
Canadian Journal of Mathematics = Journal Canadien de Mathématiques 47(4): 817-840.
PUB | DOI | WoS
 
[10]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift
Bogachev VI, Röckner M (1995)
Osaka Journal of Mathematics 32(2): 237-274.
PUB | WoS
 
[9]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640061
UNIQUENESS OF THE STOCHASTIC DYNAMICS FOR CONTINUOUS-SPIN SYSTEMS ON A LATTICE
Albeverio S, Kondratiev Y, Röckner M (1995)
JOURNAL OF FUNCTIONAL ANALYSIS 133(1): 10-20.
PUB | DOI | WoS
 
[8]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
Quasi-homeomorphisms of Dirichlet forms
Chen Z-Q, Ma Z-M, Röckner M (1994)
Nagoya Mathematical Journal 136: 1-15.
PUB | DOI | WoS
 
[7]
1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
An invariance result for capacities on Wiener space
Albeverio S, FUKUSHIMA M, Hansen W, MA ZM, Röckner M (1992)
Journal of Functional Analysis 106(1): 35-49.
PUB | DOI | WoS
 
[6]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE
Albeverio S, FUKUSHIMA M, Hansen W, MA ZM, Röckner M (1991)
Comptes Rendus de l'Academie des Sciences. Series I, Mathematics 312(12): 931-935.
PUB | WoS
 
[5]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651063
On the contraction property of energy forms on infinite-dimensional space
Potthoff J, Röckner M (1990)
Journal of Functional Analysis 92(1): 155-165.
PUB | DOI | WoS
 
[4]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656492
Specifications and Martin boundaries forP(Φ)2-random fields
Röckner M (1986)
Communications in Mathematical Physics 106(1): 105-135.
PUB | DOI | WoS | Inspire
 
[3]
1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657987
A Dirichlet problem for distributions and specifications for random fields
Röckner M (1985)
Memoirs of the American Mathematical Society 54(324): 1-76.
PUB | DOI | WoS
 
[2]
1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657884
Generalized Markov fields and Dirichlet forms
Röckner M (1985)
Acta Applicandae Mathematica 3(3): 285-311.
PUB | DOI | WoS
 
[1]
1983 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1659692
Markov property of generalized fields and axiomatic potential theory
Röckner M (1983)
Mathematische Annalen 264(2): 153-177.
PUB | DOI | WoS
 

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[254]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937867
On the Superposition Principle for Fokker-Planck-Kolmogorov Equations
Bogachev VI, Röckner M, Shaposhnikov SV (2019)
DOKLADY MATHEMATICS 100(1): 363-366.
PUB | DOI | WoS
 
[253]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937858
A MILD ITO FORMULA FOR SPDES
Da Prato G, Jentzen A, Röckner M (2019)
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372(6): 3755-3807.
PUB | DOI | WoS
 
[252]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937112
Absolutely continuous solutions for continuity equations in Hilbert spaces
Da Prato G, Flandoli F, Röckner M (2019)
Journal de Mathématiques Pures et Appliquées 128: 42-86.
PUB | DOI | WoS
 
[251]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936605
A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA
Röckner M, Zhu R, Zhu X (2019)
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 24(8): 4021-4030.
PUB | DOI | WoS
 
[250]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936025
A new approach to the existence of invariant measures for Markovian semigroups
Beznea L, Cimpean I, Röckner M (2019)
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 55(2): 977-1000.
PUB | DOI | WoS
 
[249]
2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2936013
Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems
Nendel M, Röckner M (2019) Center for Mathematical Economics Working Papers; 618.
Bielefeld: Center for Mathematical Economics.
PUB | PDF
 
[248]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
Scattering for stochastic nonlinear Schrödinger equations
Herr S, Röckner M, Zhang D (2019)
Communications in Mathematical Physics 368(2): 843–884.
PUB | DOI | Download (ext.) | WoS | arXiv
 
[247]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935865
Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures
Bogachev VI, Röckner M, Shaposhnikov SV (2019)
JOURNAL OF FUNCTIONAL ANALYSIS 276(12): 3681-3713.
PUB | DOI | WoS
 
[246]
2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2935374
On a Class of Infinite-Dimensional Singular Stochastic Control Problems
Federico S, Ferrari G, Riedel F, Röckner M (2019) Center for Mathematical Economics Working Papers; 614.
Bielefeld: Center for Mathematical Economics.
PUB | PDF
 
[245]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934374
NONLINEAR FOKKER-PLANCK EQUATIONS FOR PROBABILITY MEASURES ON PATH SPACE AND PATH-DISTRIBUTION DEPENDENT SDES
Huang X, Röckner M, Wang F-Y (2019)
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39(6): 3017-3035.
PUB | DOI | WoS
 
[244]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931261
Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations
Barbu V, Röckner M (2018)
SIAM Journal on Mathematical Analysis 50(4): 4246-4260.
PUB | DOI | WoS
 
[243]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931232
Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise
Barbu V, Röckner M (2018)
Journal of Differential Equations 265(10): 4993-5030.
PUB | DOI | WoS
 
[242]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
Liu W, Röckner M, da Silva JL (2018)
SIAM Journal on Mathematical Analysis 50(3): 2588-2607.
PUB | DOI | WoS
 
[241]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919313
Total variation flow perturbed by gradient linear multiplicative noise
Munteanu I, Röckner M (2018)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 21(1): 1850003 .
PUB | DOI | WoS
 
[240]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919046
Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents
Beznea L, Cimpean I, Röckner M (2018)
Stochastic Processes and their Applications 128(4): 1405-1437.
PUB | DOI | WoS
 
[239]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930270
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise
Barbu V, Röckner M, Zhang D (2018)
The Annals of Probability 46(4): 1957-1999.
PUB | DOI | WoS
 
[238]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920683
Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities
Röckner M, Wu W, Xie Y (2018)
Stochastic Processes and their Applications 128(6): 2131-2151.
PUB | DOI | WoS
 
[237]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931102
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces
Barbu V, Röckner M (2018)
Stochastics and Partial Differential Equations: Analysis and Computations 6(3): 500-524.
PUB | DOI | WoS
 
[236]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290
Stochastic heat equations with values in a Riemannian manifold
Röckner M, Wu B, Zhu R, Zhu X (2018)
Rendiconti Lincei - Matematica e Applicazioni 29(1): 205-213.
PUB | DOI | WoS
 
[235]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities
Grigoryan A, Ouyang S, Röckner M (2018)
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 736: 1-31.
PUB | DOI | WoS
 
[234]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932801
Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations
Bogachev VI, Röckner M, Shaposhnikov SV (2018)
DOKLADY MATHEMATICS 98(2): 452-457.
PUB | DOI | WoS
 
[233]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917179
Closability of quadratic forms associated to invariant probability measures of SPDEs
Röckner M, Wang F-Y (2017)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 20(4): 15.
PUB | DOI | WoS
 
[232]
2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2931386
Quantum Fields
Albeverio S, Röckner M, Yoshida MW (2017)
In: Let Us Use White Noise. Hida T, Streit L (Eds); New Jersey, London: World Scientific: 37-65.
PUB | DOI | Inspire
 
[231]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916350
Doubly probabilistic representation for the stochastic porous media type equation
Barbu V, Röckner M, Russo F (2017)
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53(4): 2043-2073.
PUB | DOI | WoS
 
[230]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914407
Global solutions to random 3D vorticity equations for small initial data
Barbu V, Röckner M (2017)
Journal of Differential Equations 263(9): 5395-5411.
PUB | DOI | WoS
 
[229]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2909443
The stochastic logarithmic Schrodinger equation
Barbu V, Röckner M, Zhang D (2017)
Journal de Mathématiques Pures et Appliquées 107(2): 123-149.
PUB | DOI | WoS
 
[228]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914999
Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case
Barbu V, Röckner M, Zhang D (2017)
Journal of Differential Equations 263(11): 7919-7940.
PUB | DOI | WoS
 
[227]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916113
A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise
Barbu V, Röckner M (2017)
Stochastics and Partial Differential Equations: Analysis and Computations 5(4): 457-471.
PUB | DOI | WoS
 
[226]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914679
Uniqueness for a class of stochastic Fokker-Planck and porous media equations
Röckner M, Russo F (2017)
Journal of Evolution Equations 17(3): 1049-1062.
PUB | DOI | WoS
 
[225]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757
Ergodicity for the Stochastic Quantization Problems on the 2D-Torus
Röckner M, Zhu R, Zhu X (2017)
Communications in Mathematical Physics 353(3): 1061-1090.
PUB | DOI | WoS
 
[224]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002
Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applications
Röckner M, Zhu R, Zhu X (2017)
Journal of Functional Analysis 272(10): 4263-4303.
PUB | DOI | WoS
 
[223]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486
STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Gess B, Röckner M (2017)
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369(5): 3017-3045.
PUB | DOI | WoS
 
[222]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift
Da Prato G, Flandoli F, Röckner M, Veretennikov AY (2016)
The Annals of Probability 44(3): 1985-2023.
PUB | DOI | WoS
 
[221]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904065
Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise
Barbu V, Röckner M (2016)
Stochastic Processes and their Applications 126(7): 2163-2179.
PUB | DOI | WoS
 
[220]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
Transition Semigroup
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 167-195.
PUB | DOI | WoS
 
[219]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917171
On the maximal inequalities of Burkholder, Davis and Gundy
Marinelli C, Röckner M (2016)
Expositiones Mathematicae 34(1): 1-26.
PUB | DOI | WoS
 
[218]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917135
Stochastic nonlinear Schrödinger equations
Barbu V, Röckner M, Zhang D (2016)
Nonlinear Analysis: Theory, Methods & Applications 136: 168-194.
PUB | DOI | WoS
 
[217]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2902117
Time inhomogeneous generalized Mehler semigroups and skew convolution equations
Ouyang S-X, Röckner M (2016)
Forum Mathematicum 28(2): 339-376.
PUB | DOI | WoS
 
[216]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907737
Non-symmetric distorted Brownian motion: Strong solutions, strong Feller property and non-explosion results
Röckner M, Shin J, Trutnau G (2016)
Discrete and Continuous Dynamical Systems. Series B 21(9): 3219-3237.
PUB | DOI | WoS
 
[215]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901305
About the infinite dimensional skew and obliquely reflected Ornstein-Uhlenbeck process
Röckner M, Trutnau G (2016)
Infinite Dimensional Analysis Quantum Probability and Related Topics 18(4): 1550031.
PUB | DOI | WoS
 
[214]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796
Equations with Lipschitz Nonlinearities
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer : 19-47.
PUB | DOI | WoS
 
[213]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations
Bogachev VI, Röckner M, Shaposhnikov SV (2016)
Journal of Functional Analysis 271(5): 1262-1300.
PUB | DOI | WoS
 
[212]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917155
Estimates of distances between transition probabilities of diffusions
Bogachev VI, Röckner M, Shaposhnikov SV (2016)
Doklady Mathematics 93(2): 135-139.
PUB | DOI | WoS
 
[211]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797
Equations with Maximal Monotone Nonlinearities
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer : 49-93.
PUB | DOI | WoS
 
[210]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798
Variational Approach to Stochastic Porous Media Equations
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 95-106.
PUB | DOI | WoS
 
[209]
2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2911795
Stochastic Porous Media Equations Preface
Barbu V, Da Prato G, Röckner M (Eds) (2016) Lecture Notes in Mathematics; 2163.
Cham: Springer.
PUB | DOI | WoS
 
[208]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794
Stochastic Porous Media Equations Introduction
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 1-18.
PUB | DOI | WoS
 
[207]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911800
The Stochastic Porous Media Equations in ℝd
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 133-165.
PUB | DOI | WoS
 
[206]
2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911799
L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations
Barbu V, Da Prato G, Röckner M (2016)
In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 107-131.
PUB | DOI | WoS
 
[205]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2733472
Stochastic porous media equations in ℝd
Barbu V, Röckner M, Russo F (2015)
Journal de Mathématiques Pures et Appliquées 103(4): 1024-1052.
PUB | DOI | WoS
 
[204]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730756
A Milstein Scheme for SPDEs
Jentzen A, Röckner M (2015)
Foundations of Computational Mathematics 15(2): 313-362.
PUB | DOI | WoS
 
[203]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2780571
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
Barbu V, Röckner M (2015)
Journal of the European Mathematical Society 17(7): 1789-1815.
PUB | DOI | WoS
 
[202]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
An analytic approach to infinite-dimensional continuity and fokker-planck-kolmogorov equations
Bogachev VI, Da Prato G, Röckner M, Shaposhnikov SV (2015)
Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze 14(3): 983-1023.
PUB | DOI | WoS
 
[201]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786346
On the uniqueness of solutions to continuity equations
Bogachev VI, Da Prato G, Röckner M, Shaposhnikov SV (2015)
Journal of Differential Equations 259(8): 3854-3873.
PUB | DOI | WoS
 
[200]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901026
Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term
Da Prato G, Flandoli F, Priola E, Röckner M (2015)
Journal of Theoretical Probability 28(4): 1571-1600.
PUB | DOI | WoS
 
[199]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2736501
On the Existence of the Dual Right Markov Process and Applications
Beznea L, Röckner M (2015)
Potential Analysis 42(3): 617-627.
PUB | DOI | WoS
 
[198]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2772441
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions
Röckner M, Zhu R, Zhu X (2015)
Nonlinear Analysis Theory Methods & Applications 125: 358-397.
PUB | DOI | WoS
 
[197]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461
BV functions in a Gelfand triple for differentiable measure and its applications
Röckner M, Zhu R, Zhu X (2015)
Forum Mathematicum 27(3): 1657-1687.
PUB | DOI | WoS
 
[196]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2759912
Sub and supercritical stochastic quasi-geostrophic equation
Röckner M, Zhu R, Zhu X (2015)
The Annals of Probability 43(3): 1202-1273.
PUB | DOI | WoS
 
[195]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045
Singular-degenerate Multivalued Stochastic Fast Diffusion Equations
Gess B, Röckner M (2015)
Siam Journal on Mathematical Analysis 47(5): 4058-4090.
PUB | DOI | WoS
 
[194]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685876
Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach
Barbu V, Röckner M, Zhang D (2014)
Journal of Nonlinear Science 24(3): 383-409.
PUB | DOI | WoS
 
[193]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2673605
On continuity equations in infinite dimensions with non-Gaussian reference measure
Kolesnikov AV, Röckner M (2014)
Journal of Functional Analysis 266(7): 4490-4537.
PUB | DOI | WoS
 
[192]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412
A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z)
Albeverio S, Röckner M, Yoshida MW (2014)
Infinite Dimensional Analysis Quantum Probability and Related Topics 17(1): 1450002.
PUB | DOI | WoS
 
[191]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699769
On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution
Bogachev VI, Röckner M, Shaposhnikov SV (2014)
Doklady Mathematics 90(1): 424-428.
PUB | DOI | WoS
 
[190]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660829
On parabolic inequalities for generators of diffusions with jumps
Bogachev VI, Röckner M, Shaposhnikov SV (2014)
Probability Theory and Related Fields 158(1-2): 465-476.
PUB | DOI | WoS
 
[189]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627
A note on stochastic semilinear equations and their associated Fokker-Planck equations
Röckner M, Zhu R, Zhu X (2014)
Journal of Mathematical Analysis and Applications 415(1): 83-109.
PUB | DOI | WoS
 
[188]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363
Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise
Röckner M, Zhu R, Zhu X (2014)
Stochastic Processes and their Applications 124(5): 1974-2002.
PUB | DOI | WoS
 
[187]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612709
Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise
Barbu V, Röckner M (2013)
Archive For Rational Mechanics And Analysis 209(3): 797-834.
PUB | DOI | WoS
 
[186]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625721
On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations
Bogachev VI, Röckner M, Shaposhnikov SV (2013)
Journal Of Evolution Equations 13(3): 577-593.
PUB | DOI | WoS
 
[185]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548347
Local and global well-posedness of SPDE with generalized coercivity conditions
Liu W, Röckner M (2013)
Journal Of Differential Equations 254(2): 725-755.
PUB | DOI | WoS
 
[184]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584618
General extinction results for stochastic partial differential equations and applications
Röckner M, Wang F-Y (2013)
Journal Of The London Mathematical Society 87(2): 545-560.
PUB | DOI | WoS
 
[183]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635459
Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces
Hinz M, Röckner M, Teplyaev A (2013)
Stochastic Processes And Their Applications 123(12): 4373-4406.
PUB | DOI | WoS
 
[182]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612720
Large deviation principles for the stochastic quasi-geostrophic equations
Liu W, Röckner M, Zhu X-C (2013)
Stochastic Processes And Their Applications 123(8): 3299-3327.
PUB | DOI | WoS
 
[181]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2607125
The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise
Barbu V, Röckner M (2013)
Journal Of Differential Equations 255(3): 560-571.
PUB | DOI | WoS
 
[180]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635507
Stochastic generalized porous media equations with reflection
Röckner M, Wang F-Y, Zhang T (2013)
Stochastic Processes And Their Applications 123(11): 3943-3962.
PUB | DOI | WoS
 
[179]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2636018
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
Da Prato G, Flandoli F, Priola E, Röckner M (2013)
The Annals Of Probability 41(5): 3306-3344.
PUB | DOI | WoS
 
[178]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584527
Gibbs states over the cone of discrete measures
Hagedorn D, Kondratiev Y, Pasurek T, Röckner M (2013)
Journal Of Functional Analysis 264(11): 2550-2583.
PUB | DOI | WoS
 
[177]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560367
Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities
Da Prato G, Röckner M (2012)
Rendiconti Lincei - Matematica E Applicazioni 23(4): 361-376.
PUB | DOI | WoS
 
[176]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2530570
On Positive and Probability Solutions to the Stationary Fokker-Planck-Kolmogorov Equation
Bogachev VI, Röckner M, Shaposhnikov SV (2012)
Doklady Mathematics 85(3): 350-354.
PUB | DOI | WoS
 
[175]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2489444
Localization of solutions to stochastic porous media equations: finite speed of propagation
Barbu V, Röckner M (2012)
Electronic Journal of Probability 17: 10.
PUB | DOI | WoS
 
[174]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493091
Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise
Barbu V, Da Prato G, Röckner M (2012)
Journal of Mathematical Analysis and Applications 389(1): 147-164.
PUB | DOI | WoS
 
[173]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2474345
Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump
Ouyang S-X, Röckner M, Wang F-Y (2012)
Potential Analysis 36(2): 301-315.
PUB | DOI | WoS
 
[172]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454701
Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise
Jentzen A, Röckner M (2012)
Journal of Differential Equations 252(1): 114-136.
PUB | DOI | WoS
 
[171]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493118
Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions
Barbu V, Röckner M (2012)
Communications in Mathematical Physics 311(2): 539-555.
PUB | DOI | WoS
 
[170]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454705
Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles
Röckner M, Zhang T (2012)
Journal of Differential Equations 252(1): 716-744.
PUB | DOI | WoS
 
[169]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923
STOCHASTIC QUASI-GEOSTROPHIC EQUATION
Röckner M, Zhu R, Zhu X (2012)
Infinite Dimensional Analysis Quantum Probability and Related Topics 15(1): 1250001.
PUB | DOI | WoS
 
[168]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756
The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple
Röckner M, Zhu R, Zhu X (2012)
The Annals of Probability 40(4): 1759-1794.
PUB | DOI | WoS
 
[167]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548494
GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH
Kondratiev Y, Pasurek T, Röckner M (2012)
Reviews In Mathematical Physics 24(10).
PUB | DOI | WoS
 
[166]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394382
On a random scaled porous media equation
Barbu V, Röckner M (2011)
Journal of Differential Equations 251(9): 2494-2514.
PUB | DOI | WoS
 
[165]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454846
Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case
Barbu V, Röckner M, Russo F (2011)
Probability Theory and Related Fields 151(1-2): 1-43.
PUB | DOI | WoS
 
[164]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394377
Potential theory of infinite dimensional Levy processes
Beznea L, Cornea A, Röckner M (2011)
Journal of Functional Analysis 261(10): 2845-2876.
PUB | DOI | WoS
 
[163]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394401
Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities
Beznea L, Röckner M (2011)
Complex Analysis and Operator Theory 5(3): 731-741.
PUB | DOI | WoS
 
[162]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2093770
Dimension-Independent Harnack Inequalities for Subordinated Semigroups
Gordina M, Röckner M, Wang F-Y (2011)
Potential Analysis 34(3): 293-307.
PUB | DOI | WoS
 
[161]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2440773
From resolvents to cadlag processes through compact excessive functions and applications to singular SDE on Hilbert spaces
Beznea L, Röckner M (2011)
Bulletin des Sciences Mathématiques 135(6-7): 844-870.
PUB | DOI | WoS
 
[160]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388
The Global Random Attractor for a Class of Stochastic Porous Media Equations
Beyn W-J, Gess B, Lescot P, Röckner M (2011)
Communications in Partial Differential Equations 36(3): 446-469.
PUB | DOI | WoS
 
[159]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041
Random attractors for a class of stochastic partial differential equations driven by general additive noise
Gess B, Liu W, Röckner M (2011)
Journal of Differential Equations 251(4-5): 1225-1253.
PUB | DOI | WoS
 
[158]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929609
On uniqueness of mild solutions for dissipative stochastic evolution equations
Marinelli C, Röckner M (2010)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 13(3): 363-376.
PUB | DOI | WoS
 
[157]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796284
Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients
Röckner M, Zhang X (2010)
Comptes Rendus Mathematique 348(7-8): 435-438.
PUB | DOI | WoS
 
[156]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1793861
SPDE in Hilbert space with locally monotone coefficients
Liu W, Röckner M (2010)
Journal of Functional Analysis 259(11): 2902-2922.
PUB | DOI | WoS
 
[155]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589498
Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise
Marinelli C, Prévôt C, Röckner M (2010)
Journal of Functional Analysis 258(2): 616-649.
PUB | DOI | WoS
 
[154]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929203
Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise
Marinelli C, Röckner M (2010)
Electronic Journal of Probability 15: 1528-1555.
PUB | WoS
 
[153]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588937
Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations
Röckner M, Zhang T, Zhang X (2010)
Applied Mathematics and Optimization 61(2): 267-285.
PUB | DOI | WoS
 
[152]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794324
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces
Bogachev V, Da Prato G, Röckner M (2010)
Journal of Evolution Equations 10(3): 487-509.
PUB | DOI | WoS
 
[151]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796081
LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES
Röckner M, Wang F-Y (2010)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 13(1): 27-37.
PUB | DOI | WoS
 
[150]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087
BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space
Röckner M, Zhu R, Zhu X (2010)
Comptes Rendus Mathematique 348(21-22): 1175-1178.
PUB | DOI | WoS
 
[149]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1590687
Stochastic Nonlinear Diffusion Equations with Singular Diffusivity
Barbu V, Da Prato G, Röckner M (2009)
SIAM Journal on Mathematical Analysis 41(3): 1106-1120.
PUB | DOI | WoS
 
[148]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796390
Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity
Röckner M, Zhang X (2009)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 12(4): 525-549.
PUB | DOI | WoS
 
[147]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633336
Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity
Röckner M, Zhang X (2009)
Probability Theory and Related Fields 145(1-2): 211-267.
PUB | DOI | WoS
 
[146]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634128
Martingale solutions and Markov selections for stochastic partial differential equations
Goldys B, Röckner M, Zhang X (2009)
Stochastic Processes and their Applications 119(5): 1725-1764.
PUB | DOI | WoS
 
[145]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633319
Lower estimates of densities of solutions of elliptic equations for measures
Bogachev VI, Röckner M, Shaposhnikov SV (2009)
Doklady Mathematics 79(3): 329-334.
PUB | DOI | WoS
 
[144]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591586
A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class
Röckner M, Wang Y (2009)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 12(2): 353-358.
PUB | DOI | WoS
 
[143]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633933
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
Barbu V, Da Prato G, Röckner M (2009)
Annals of Probability 37(2): 428-452.
PUB | DOI | WoS
 
[142]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589155
Nonlinear evolution and transport equations for measures
Bogachev VI, Röckner M, Shaposhnikov SV (2009)
Doklady Mathematics 80(3): 785-789.
PUB | DOI | WoS
 
[141]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636211
Stochastic Porous Media Equations and Self-Organized Criticality
Barbu V, Da Prato G, Röckner M (2009)
Communications in Mathematical Physics 285(3): 901-923.
PUB | DOI | WoS
 
[140]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591777
Positive Densities of Transition Probabilities of Diffusion Processes
Bogachev VI, Röckner M, Shaposhnikov SV (2009)
Theory of Probability & Its Applications 53(2): 194-215.
PUB | DOI | WoS
 
[139]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635920
Finite time extinction for solutions to fast diffusion stochastic porous media equations
Barbu V, Da Prato G, Röckner M (2009)
Comptes Rendus Mathematique 347(1-2): 81-84.
PUB | DOI | WoS
 
[138]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704
Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces
Bogachev VI, Da Prato G, Röckner M (2009)
Journal of Functional Analysis 256(4): 1269-1298.
PUB | DOI | WoS
 
[137]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795496
Elliptic and parabolic equations for measures
Bogachev VI, Krylov NV, Röckner M (2009)
Russian Mathematical Surveys 64(6): 973-1078.
PUB | DOI | WoS
 
[136]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636506
Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes
Bogachev VI, Röckner M, Shaposhnikov SV (2008)
Theory of Probability & Its Applications 52(2): 209-236.
PUB | DOI | WoS
 
[135]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592104
Existence and uniqueness of nonnegative solutions to the stochastic porous media equation
Barbu V, Da Prato G, Röckner M (2008)
Indiana University Mathematics Journal 57(1): 187-211.
PUB | DOI | WoS
 
[134]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588038
Infinite dimensional Kolmogorov operators with time dependent drift coefficients
Bogachev VI, Da Prato G, Röckner M (2008)
Doklady Mathematics 77(2): 276-280.
PUB | DOI | WoS
 
[133]
2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1587187
Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions
Röckner M, Schmuland B, Zhang X (2008)
Condensed Matter Physics 11(2): 247-259.
PUB | WoS
 
[132]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636734
Non-monotone stochastic generalized porous media equations
Röckner M, Wang F-Y (2008)
Journal of Differential Equations 245(12): 3898-3935.
PUB | DOI | WoS
 
[131]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586510
Parabolic equations for measures on infinite-dimensional spaces
Bogachev VI, Da Prato G, Röckner M (2008)
Doklady Mathematics 78(1): 544-549.
PUB | DOI | WoS
 
[130]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592500
On parabolic equations for measures
Bogachev VI, Da Prato G, Röckner M (2008)
Communications in Partial Differential Equations 33(3): 397-418.
PUB | DOI | WoS
 
[129]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592122 PUB | DOI | WoS
 
[128]
2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1636273
Non-equilibrium stochastic dynamics in continuum: The free case
Kondratiev Y, Lytvynov E, Röckner M (2008)
CONDENSED MATTER PHYSICS 11(4): 701-721.
PUB | WoS
 
[127]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
Weak and Strong Solutions: the Yamada-Watanabe Theorem
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 121-132.
PUB | WoS
 
[126]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526
The Bochner Integral
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 105-108.
PUB | WoS
 
[125]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520
Stochastic Differential Equations in Finite Dimensions
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 43-54.
PUB | DOI | WoS
 
[124]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
Pseudo Inverse of Linear Operators
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 115-117.
PUB | WoS
 
[123]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594879
Kusuoka-stroock formula on configuration space and regularities of local times with jumps
Ren J, Röckner M, Zhang X (2007)
Potential Analysis 26(4): 363-396.
PUB | DOI | WoS
 
[122]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595371 PUB | DOI | WoS
 
[121]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592663
A remark on the generator of a right-continuous Markov process
Röckner M, Trutnau G (2007)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 10(4): 633-640.
PUB | DOI | WoS
 
[120]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529
Nuclear and Hilbert-Schmidt Operators
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 109-113.
PUB | WoS
 
[119]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535
Some Tools from Real Martingale Theory
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 119-119.
PUB | WoS
 
[118]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541
Strong, Mild and Weak Solutions
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 133-136.
PUB | WoS
 
[117]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514
Motivation, Aims and Examples
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berling: Springer: 1-4.
PUB | DOI | WoS
 
[116]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523
A Class of Stochastic Differential Equations
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin ; Heidelberg: Springer: 55-103.
PUB | DOI | WoS
 
[115]
2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517
The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion)
Prévôt C, Röckner M (2007)
In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin ; Heidelberg: Springer: 5-42.
PUB | DOI | WoS
 
[114]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1632672
Uniqueness of solutions to weak parabolic equations for measures
Bogachev VI, Da Prato G, Röckner M, Stannat W (2007)
Bulletin of the London Mathematical Society 39(4): 631-640.
PUB | DOI | WoS
 
[113]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631495
Equilibrium Kawasaki dynamics of continuous particle systems
Kondratiev Y, Lytvynov E, Röckner M (2007)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 10(2): 185-209.
PUB | DOI | WoS
 
[112]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596324
N/V-limit for stochastic dynamics in continuous particle systems
Grothaus M, Kondratiev Y, Röckner M (2007)
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 121-160.
PUB | DOI | WoS
 
[111]
2006 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1872394
Gradient bounds for solutions of elliptic and parabolic equations
Bogachev VI, Da Prato G, Röckner M, Sobol Z (2006)
In: Stochastic Differential Equations and Applications - VII. Da Prato G, Tubaro L (Eds); Lecture notes in pure and applied mathematics, 245. Boca Raton: Chapman & Hall/CRC: 27-34.
PUB | Download (ext.)
 
[110]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596907
Markov processes associated with L-p-resolvents and applications to stochastic differential equations on Hilbert space
Beznea L, Boboc N, Röckner M (2006)
Journal of Evolution Equations 6(4): 745-772.
PUB | DOI | WoS
 
[109]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597497
Quasi-regular Dirichlet forms and L-p-resolvents on measurable spaces
Beznea L, Boboc N, Röckner M (2006)
Potential Analysis 25(3): 269-282.
PUB | DOI | WoS
 
[108]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596393
Large deviations for stochastic generalized porous media equations
Röckner M, Wang F-Y, Wu L (2006)
Stochastic Processes and their Applications 116(12): 1677-1689.
PUB | DOI | WoS
 
[107]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599439
Functional inequalities for particle systems on Polish spaces
Röckner M, Wang F-Y (2006)
Potential Analysis 24(3): 223-243.
PUB | DOI | WoS
 
[106]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599008
Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case
Barbu V, Bogachev VI, Da Prato G, Röckner M (2006)
Journal of Functional Analysis 237(1): 54-75.
PUB | DOI | WoS
 
[105]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1874564 PUB | DOI | Download (ext.)
 
[104]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893
Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity
Da Prato G, Röckner M, Rozovskii BL, Wang F-Y (2006)
Communications in Partial Differential Equations 31(2): 277-291.
PUB | DOI | WoS
 
[103]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599748
Infinite interacting diffusion particles I: Equilibrium process and its scaling limit
Kondratiev Y, Lytvynov E, Röckner M (2006)
FORUM MATHEMATICUM 18(1): 9-43.
PUB | DOI | WoS
 
[102]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605208
Strong solutions of stochastic equations with singular time dependent drift
Krylov NV, Röckner M (2005)
Probability Theory and Related Fields 131(2): 154-196.
PUB | DOI | WoS
 
[101]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600780
Regularity and global bounds of densities of invariant measures of diffusion processes
Bogachev VI, Krylov NV, Röckner M (2005)
Doklady Mathematics 72(3): 934-938.
PUB | WoS
 
[100]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872405
Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices
Bernabei S, Röckner M, Yoshida MIW, Albeverio S (2005)
Comptes Rendus Mathematique 341(11): 675-678.
PUB | DOI
 
[99]
2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1872422
A remark on sets in infinite dimensional spaces with full or zero capacity
Ren J, Röckner M (2005)
In: Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory. Singapore: World Scientific: 177-186.
PUB | Download (ext.)
 
[98]
2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1874572
PDE Approach to Invariant and Gibbs Measures with Applications
Röckner M (2005)
In: Infinite Dimensional Harmonic Analysis III. Heyer H (Ed); Hackensack, N.J: World Scientific.
PUB | Download (ext.)
 
[97]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605081
Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
Cerrai S, Röckner M (2005)
Annales de l'Institut Henri Poincare (B) Probability and Statistics 41(1): 69-105.
PUB | DOI | WoS
 
[96]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430
Global regularity and bounds for solutions of parabolic equations for probability measures
Bogachev VI, Röckner M, Shaposhnikov SV (2005)
SIAM Theory of Probability and its Applications 50(4): 561-581.
PUB | DOI | Download (ext.)
 
[95]
2005 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1874610
Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and A-Priori Estimates
Albeverio S, Röckner M, Pasurek T, Kondratiev Y (2005)
In: Interacting Stochastic Systems. Deuschel J-D (Ed); Berlin: Springer: 29-54.
PUB
 
[94]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608612
On the spectrum of a class of non-sectorial diffusion operators
Röckner M, Wang F-Y (2004)
Bulletin of the London Mathematical Society 36(1): 95-104.
PUB | DOI | WoS
 
[93]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606483
Global gradient bounds for dissipative diffusion operators
Bogachev VI, Da Prato G, Röckner M, Sobol Z (2004)
Comptes Rendus Mathematique 339(4): 277-282.
PUB | DOI | WoS
 
[92]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607633 PUB | DOI | WoS
 
[91]
2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234
Invariant Measures for a Stochastic Porous Medium Equation
Da Prato G, Röckner M (2004)
In: Stochastic Analysis and Related Topics. Kunita H, Watanabe S, Takahashi Y (Eds); Advanced studies in pure mathematics, 41. Tokyo: Mathematical Soc. of Japan: 13-29.
PUB | DOI
 
[90]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607410
Invariant measures of generalized stochastic porous medium equations
Bogachev VI, Da Prato G, Röckner M (2004)
Doklady Mathematics 69(3): 321-325.
PUB | WoS
 
[89]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607686
Weak solutions to stochastic porous media equations
Da Prato G, Röckner M (2004)
Journal of Evolution Equations 4(2): 249-271.
PUB | DOI | WoS
 
[88]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606613
Sample path large deviations for diffusion processes on configuration spaces over a Riemannian manifold
Röckner M, Zhang TS (2004)
Publications of the Research Institute for Mathematical Sciences 40(2): 385-427.
PUB | DOI | WoS
 
[87]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607414
Invariance implies Gibbsian: Some new results
Bogachev VI, Röckner M, Wang F-Y (2004)
Communications in Mathematical Physics 248(2): 335-355.
PUB | DOI | WoS
 
[86]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608272 PUB | WoS
 
[85]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607902
Existence of solutions to weak parabolic equations for measures
Bogachev VI, Da Prato G, Röckner M (2004)
Proceedings of the London Mathematical Society 88(3): 753-774.
PUB | DOI | WoS
 
[84]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609133 PUB | DOI | WoS
 
[83]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607625
Uniqueness of diffusion generators for two types of particle systems with singular interactions
Kondratiev Y, Konstantinov AY, Röckner M (2004)
JOURNAL OF FUNCTIONAL ANALYSIS 212(2): 357-372.
PUB | DOI | WoS
 
[82]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608071
On diffusion dynamics for continuous systems with singular superstable interaction
Kondratiev Y, Rebenko AL, Röckner M (2004)
JOURNAL OF MATHEMATICAL PHYSICS 45(5): 1826-1848.
PUB | DOI | WoS
 
[81]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608265
Euclidean Gibbs measures on loop lattices: Existence and a priori estimates
Albeverio S, Kondratiev Y, Pasurek T, Röckner M (2004)
ANNALS OF PROBABILITY 32(1A): 153-190.
PUB | WoS
 
[80]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609893
Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds
Röckner M, Wang F-Y (2003)
Forum Mathematicum 15(6): 893-921.
PUB | DOI | WoS
 
[79]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609835
On L-P-uniqueness of symmetric diffusion operators on Riemannian manifolds
Bogachev VI, Röckner M (2003)
Sbornik: Mathematics 194(7-8): 969-978.
PUB | DOI | WoS
 
[78]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609600
Large deviations for invariant measures of general stochastic reaction-diffusion systems
Cerrai S, Röckner M (2003)
Comptes Rendus Mathematique 337(9): 597-602.
PUB | DOI | WoS
 
[77]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612172
Lower order perturbations of Dirichlet processes
Röckner M, Zhang TS (2003)
Forum Mathematicum 15(2): 285-297.
PUB | DOI | WoS
 
[76]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610471
Harnack and functional inequalities for generalized Mehler semigroups
Röckner M, Wang F-Y (2003)
Journal of Functional Analysis 203(1): 237-261.
PUB | DOI | WoS
 
[75]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611843
Quantum stabilization in anharmonic crystals
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2003)
PHYSICAL REVIEW LETTERS 90(17): 170603.
PUB | DOI | WoS | PubMed | Europe PMC
 
[74]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612204
The heat semigroup on configuration spaces
Kondratiev Y, Lytvynov E, Röckner M (2003)
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 39(1): 1-48.
PUB | DOI | WoS
 
[73]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611030
Scaling limit of stochastic dynamics in classical continuous systems
Grothaus M, Kondratiev Y, Lytvynov E, Röckner M (2003)
ANNALS OF PROBABILITY 31(3): 1494-1532.
PUB | WoS
 
[72]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609941
Small mass implies uniqueness of Gibbs states of a quantum crystal
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2003)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 241(1): 69-90.
PUB | DOI | WoS
 
[71]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613244
Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
Bogachev VI, Röckner M, Stannat W (2002)
Sbornik: Mathematics 193(7-8): 945-976.
PUB | DOI | WoS
 
[70]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613192
Singular dissipative stochastic equations in Hilbert spaces
Da Prato G, Röckner M (2002)
Probability Theory and Related Fields 124(2): 261-303.
PUB | DOI | WoS
 
[69]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613297
Generators of mehler-type semigroups as pseudo-differential operators
Lescot P, Röckner M (2002)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 5(3): 297-315.
PUB | DOI | WoS
 
[68]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613047
Surface measures and tightness of Sobolev capacities on Poisson space
Bogachev VI, Pugachev OV, Röckner M (2002)
Doklady Mathematics 66(2): 157-160.
PUB | WoS
 
[67]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613006
Surface measures and tightness of (r,p)-capacities on Poisson space
Bogachev VI, Pugachev OV, Röckner M (2002)
Journal of Functional Analysis 196(1): 61-86.
PUB | DOI | WoS
 
[66]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613051
Invariant measures of stochastic gradient systems in Riemannian manifolds and Gibbs measures
Bogachev VI, Wang FY, Röckner M (2002)
Doklady Mathematics 66(2): 179-183.
PUB | WoS
 
[65]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613055
On weak parabolic equations for probability measures
Bogachev VI, Da Prato G, Röckner M (2002)
Doklady Mathematics 66(2): 192-196.
PUB | WoS
 
[64]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612751
Euclidean Gibbs states of quantum lattice systems
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2002)
REVIEWS IN MATHEMATICAL PHYSICS 14(12): 1335-1401.
PUB | DOI | WoS
 
[63]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612947
Gibbs states of a quantum crystal: uniqueness by small particle mass
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2002)
COMPTES RENDUS MATHEMATIQUE 335(8): 693-698.
PUB | DOI | WoS
 
[62]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616121
Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups
Röckner M, Wang F-Y (2001)
Journal of Functional Analysis 185(2): 564-603.
PUB | DOI | WoS
 
[61]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617681
Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions
Bogachev V, Röckner M, Wang F-Y (2001)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 332(4): 333-338.
PUB | DOI | WoS
 
[60]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615560
On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions
Bogachev VI, Krylov NV, Röckner M (2001)
Communications in Partial Differential Equations 26(11-12): 2037-2080.
PUB | WoS
 
[59]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617720
Differentiability of the invariant measures and transition probabilities of singular diffusions
Bogachev VP, Krylov NV, Röckner M (2001)
Doklady Mathematics 63(1): 18-21.
PUB | WoS
 
[58]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616117
Poincaré inequality for weighted first order Sobolev spaces on loop spaces
Gong F, Röckner M, Liming W (2001)
Journal of Functional Analysis 185(2): 527-563.
PUB | DOI | WoS
 
[57]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617754
Elliptic equations for invariant measures on finite and infinite dimensional manifolds
Bogachev VI, Röckner M, Wang F-Y (2001)
Journal de Mathématiques Pures et Appliquées 80(2): 177-221.
PUB | DOI | WoS
 
[56]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616748
Elliptic equations associated with invariant measures of diffusions on finite- and infinite-dimensional manifolds
Bogachev VI, Wang FY, Röckner M (2001)
Doklady Mathematics 63(3): 351-354.
PUB | WoS
 
[55]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616354
Elliptic equations for measures on infinite dimensional spaces and applications
Bogachev VI, Röckner M (2001)
Probability Theory and Related Fields 120(4): 445-496.
PUB | DOI | WoS
 
[54]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484
Gauss formula and symmetric extensions of the Laplacian on configuration spaces
Finkelshtein DL, Kondratiev Y, Röckner M, Konstantinov AY (2001)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 4(4): 489-509.
PUB | DOI | WoS
 
[53]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616247
Stochastic dynamics of fluctuations in classical continuous systems
Albeverio S, Grothaus M, Kondratiev Y, Röckner M (2001)
JOURNAL OF FUNCTIONAL ANALYSIS 185(1): 129-154.
PUB | DOI | WoS
 
[52]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617829
On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems
da Silva J, Kondratiev Y, Röckner M (2001)
MATHEMATISCHE NACHRICHTEN 222: 141-157.
PUB | DOI | WoS
 
[51]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615500
Gibbs states on loop lattices: existence and a priori estimates
Albeverio S, Kondratiev Y, Pasurek T, Röckner M (2001)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 333(11): 1005-1009.
PUB | DOI | WoS
 
[50]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617918
Uniqueness for Gibbs measures of quantum lattices in small mass regime
Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2001)
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 37(1): 43-69.
PUB | DOI | WoS
 
[49]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616433
A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts
Bogachev V, Röckner M (2000)
Theory of Probability & Its Applications 45(3): 363-378.
PUB | DOI | WoS
 
[48]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619467
Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications
Ren J, Röckner M (2000)
Probability Theory and Related Fields 117(2): 201-220.
PUB | DOI | WoS
 
[47]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621240
Existence and uniqueness of invariant measures: An approach via sectorial forms
Bogachev V, Röckner M, Zhang TS (2000)
Applied Mathematics and Optimization 41(1): 87-109.
PUB | DOI | WoS
 
[46]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620587
Generalized Mehler semigroups: The non-Gaussian case
Fuhrman M, Röckner M (2000)
Potential Analysis 12(1): 1-47.
PUB | DOI | WoS
 
[45]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619161
Construction of diffusions on configuration spaces
Ma Z-M, Röckner M (2000)
Osaka Journal of Mathematics 37(2): 273-314.
PUB | WoS
 
[44]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617639
Approximation of Hunt processes by multivariate Poisson processes
Ma Z-M, Röckner M, Sun W (2000)
Acta Applicandae Mathematica 63(1-3): 233-243.
PUB | DOI | WoS
 
[43]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617634
Stochastic dynamics of compact spins: Ergodicity and irreducibility
Albeverio S, Daletskii A, Kondratiev Y, Röckner M (2000)
ACTA APPLICANDAE MATHEMATICAE 63(1-3): 27-40.
PUB | DOI | WoS
 
[42]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620414
A priori estimates for symmetrizing measures and their applications to Gibbs states
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (2000)
JOURNAL OF FUNCTIONAL ANALYSIS 171(2): 366-400.
PUB | DOI | WoS
 
[41]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659
Dirichlet operators with variable coefficients in L-p-spaces of functions of infinitely many variables coefficients
Liskevich V, Sobol Z, Röckner M (1999)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(4): 487-502.
PUB | DOI | WoS
 
[40]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621467
Elliptic equations for infinite dimensional probability distributions and Lyapunov functions
Bogachev V, Röckner M (1999)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329(8): 705-710.
PUB | DOI | WoS
 
[39]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623139
The martingale problem for pseudo-differential operators on infinite-dimensional spaces
Bogachev V, Lescot P, Röckner M (1999)
Nagoya Mathematical Journal 153: 101-118.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620925
Rademacher's theorem on configuration spaces and applications
Röckner M, Schied A (1999)
Journal of Functional Analysis 169(2): 325-356.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621097
Probabilistic representations and hyperbound estimates for semigroups
Röckner M, Zhang TS (1999)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(3): 337-358.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622169
Stochastic quantization of the two-dimensional polymer measure
Albeverio S, Hu YZ, Röckner M, Zhou XY (1999)
Applied Mathematics and Optimization 40(3): 341-354.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623685
On uniqueness of invariant measures for finite- and infinite-dimensional diffusions
Albeverio S, Bogachev V, Röckner M (1999)
Communications on Pure and Applied Mathematics 52(3): 325-362.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623534
Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory
Albeverio S, Kondratiev Y, Röckner M (1999)
REVIEWS IN MATHEMATICAL PHYSICS 11(1): 1-23.
PUB | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622749
A-priori estimates and existence of Gibbs measures: a simplified proof
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1999)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 328(11): 1049-1054.
PUB | DOI | WoS
 
[32]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622857
Scattering problem for local perturbations of the free quantum gas
Kondratiev Y, Konstantinov AY, Röckner M, Shchepan'uk GV (1999)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 203(2): 421-444.
PUB | DOI | WoS
 
[31]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622370
Fluctuations and their Glauber dynamics in lattice systems
Albeverio S, Daletskii A, Kondratiev Y, Röckner M (1999)
JOURNAL OF FUNCTIONAL ANALYSIS 166(1): 148-167.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625592
Approximation of arbitrary Dirichlet processes by Markov chains
Ma Z-M, Röckner M, Zhang T-S (1998)
Annales de l'Institut Henri Poincare (B) Probability and Statistics 34(1): 1-22.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626293
A support property for infinite-dimensional interacting diffusion processes
Röckner M, Schmuland B (1998)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 326(3): 359-364.
PUB | DOI | WoS
 
[28]
1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927
Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results
Röckner M (1998)
In: New Directions in Dirichlet Forms. Jost J (Ed); Studies in Advances Mathematics. Providence, RI: American Mathematical Society: 157-231.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916
Strong Uniqueness for a Class of Intinite Dimensional Dirichlet Operators and Applications to Stochastic Quantization
Liskevich VI, Röckner M (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4 27(1): 69-91.
PUB
 
[26]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625042
Analysis and geometry on configuration spaces: The Gibbsian case
Albeverio S, Kondratiev Y, Röckner M (1998)
JOURNAL OF FUNCTIONAL ANALYSIS 157(1): 242-291.
PUB | DOI | WoS
 
[25]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625675
Analysis and geometry on configuration spaces
Albeverio S, Kondratiev Y, Röckner M (1998)
JOURNAL OF FUNCTIONAL ANALYSIS 154(2): 444-500.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626150
Convergence of operators semigroups generated by elliptic operators
Röckner M, Zhang TS (1997)
Osaka Journal of Mathematics 34(4): 923-932.
PUB | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628151
Partitions of unity in Sobolev spaces over infinite dimensional state spaces
Albeverio S, Ma Z-M, Röckner M (1997)
Journal of Functional Analysis 143(1): 247-268.
PUB | DOI | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627421
Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states
Albeverio S, Kondratiev Y, Röckner M (1997)
JOURNAL OF FUNCTIONAL ANALYSIS 149(2): 415-&.
PUB | DOI | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1637772
Ergodicity of L(2)-semigroups and extremality of Gibbs states
Albeverio S, Kondratiev Y, Röckner M (1997)
JOURNAL OF FUNCTIONAL ANALYSIS 144(2): 394-423.
PUB | DOI | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627885
Uniqueness of Gibbs states for quantum lattice systems
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
PROBABILITY THEORY AND RELATED FIELDS 108(2): 193-218.
PUB | DOI | WoS
 
[19]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626717
Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 189(2): 621-630.
PUB | DOI | WoS
 
[18]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627324
Uniqueness of Gibbs states on loop lattices
Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 324(12): 1401-1406.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638991
Generalized Mehler semigroups and applications
Bogachev VI, Röckner M, Schmuland B (1996)
Probability Theory and Related Fields 105(2): 193-225.
PUB | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1]
Lyons TJ, Röckner M, Zhang TS (1996)
Stochastic Processes and their Applications 64(1): 31-38.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
Regularity of invariant measures: The case of non-constant diffusion part
Bogachev VI, Krylov N, Röckner M (1996)
Journal of Functional Analysis 138(1): 223-242.
PUB | DOI | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628627
Differential geometry of Poisson spaces
Albeverio S, Kondratiev Y, Röckner M (1996)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 323(10): 1129-1134.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628378
Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces
Albeverio S, Kondratiev Y, Röckner M (1996)
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 323(11): 1179-1184.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications
Bogachev VI, Röckner M (1995)
Journal of Functional Analysis 133(1): 168-223.
PUB | DOI | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640337
Markov Processes Associated With Positivity Preserving Coercive Forms
Ma Z-M, Röckner M (1995)
Canadian Journal of Mathematics = Journal Canadien de Mathématiques 47(4): 817-840.
PUB | DOI | WoS
 
[10]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift
Bogachev VI, Röckner M (1995)
Osaka Journal of Mathematics 32(2): 237-274.
PUB | WoS
 
[9]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640061
UNIQUENESS OF THE STOCHASTIC DYNAMICS FOR CONTINUOUS-SPIN SYSTEMS ON A LATTICE
Albeverio S, Kondratiev Y, Röckner M (1995)
JOURNAL OF FUNCTIONAL ANALYSIS 133(1): 10-20.
PUB | DOI | WoS
 
[8]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
Quasi-homeomorphisms of Dirichlet forms
Chen Z-Q, Ma Z-M, Röckner M (1994)
Nagoya Mathematical Journal 136: 1-15.
PUB | DOI | WoS
 
[7]
1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
An invariance result for capacities on Wiener space
Albeverio S, FUKUSHIMA M, Hansen W, MA ZM, Röckner M (1992)
Journal of Functional Analysis 106(1): 35-49.
PUB | DOI | WoS
 
[6]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE
Albeverio S, FUKUSHIMA M, Hansen W, MA ZM, Röckner M (1991)
Comptes Rendus de l'Academie des Sciences. Series I, Mathematics 312(12): 931-935.
PUB | WoS
 
[5]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651063
On the contraction property of energy forms on infinite-dimensional space
Potthoff J, Röckner M (1990)
Journal of Functional Analysis 92(1): 155-165.
PUB | DOI | WoS
 
[4]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656492
Specifications and Martin boundaries forP(Φ)2-random fields
Röckner M (1986)
Communications in Mathematical Physics 106(1): 105-135.
PUB | DOI | WoS | Inspire
 
[3]
1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657987
A Dirichlet problem for distributions and specifications for random fields
Röckner M (1985)
Memoirs of the American Mathematical Society 54(324): 1-76.
PUB | DOI | WoS
 
[2]
1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657884
Generalized Markov fields and Dirichlet forms
Röckner M (1985)
Acta Applicandae Mathematica 3(3): 285-311.
PUB | DOI | WoS
 
[1]
1983 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1659692
Markov property of generalized fields and axiomatic potential theory
Röckner M (1983)
Mathematische Annalen 264(2): 153-177.
PUB | DOI | WoS
 

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