Michael Röckner

PEVZ-ID
10585

322 Publikationen

Alle markieren

  • [322]
    2024 | Preprint | Eingereicht | PUB-ID: 2993301
    S. Herr, et al., “The energy-critical stochastic Zakharov system”, Submitted.
    PUB | arXiv
     
  • [321]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175
    B. Gess, M. Röckner, and W. Wu, “SVI solutions to stochastic nonlinear diffusion equations on general measure spaces”, Journal of Evolution Equations, vol. 24, 2024, : 94.
    PUB | DOI | WoS
     
  • [320]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993907
    V. Barbu and M. Röckner, “Markov Processes Associated with Nonlinear Fokker-Planck Equations”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.189-195.
    PUB | DOI | WoS
     
  • [319]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993906
    V. Barbu and M. Röckner, “Time Dependent Fokker-Planck Equations”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.123-145.
    PUB | DOI | WoS
     
  • [318]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993905
    V. Barbu and M. Röckner, “Appendix”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts , J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.197-203.
    PUB | DOI | WoS
     
  • [317]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993902
    V. Barbu and M. Röckner, “Convergence to Equilibrium of Nonlinear Fokker-Planck Flows”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.147-188.
    PUB | DOI | WoS
     
  • [316]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993899
    V. Barbu and M. Röckner, “Existence of Nonlinear Fokker-Planck Flows”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.13-122.
    PUB | DOI | WoS
     
  • [315]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993901
    V. Barbu and M. Röckner, “Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Introduction”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.1-11.
    PUB | DOI | WoS
     
  • [314]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993900
    V. Barbu and M. Röckner, “Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Preface”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts , J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.v-vi.
    PUB | DOI | WoS
     
  • [313]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2992558
    J.L. da Silva, M. Erraoui, and M. Röckner, “Cameron-Martin type theorem for a class of non-Gaussian measures”, Stochastic Analysis and Applications , 2024.
    PUB | DOI | WoS
     
  • [312]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992227 OA
    B. Goldys, M. Nendel, and M. Röckner, “Operator semigroups in the mixed topology and the infinitesimal description of Markov processes”, JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 412, 2024, pp. 23-86.
    PUB | PDF | DOI | WoS
     
  • [311]
    2024 | Diskussionspapier | Veröffentlicht | PUB-ID: 2990509 OA
    S. Federico, et al., Variational Inequalities and Smooth-Fit Principle for Singular Stochastic Control Problems in Hilbert Spaces, Center for Mathematical Economics Working Papers, vol. 692, Bielefeld: Center for Mathematical Economics, 2024.
    PUB | PDF
     
  • [310]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990414
    C. Beznea, L. Beznea, and M. Röckner, “Nonlinear Dirichlet Forms Associated with Quasiregular Mappings”, Potential Analysis, 2024.
    PUB | DOI | WoS
     
  • [309]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990406
    M. Cheng, Z. Hao, and M. Röckner, “Strong and weak convergence for the averaging principle of DDSDE with singular drift”, Bernoulli, vol. 30, 2024, pp. 1586-1610.
    PUB | DOI | WoS
     
  • [308]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988956
    V. Barbu and M. Röckner, “Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy noise”, Probability Theory and Related Fields, 2024.
    PUB | DOI | WoS
     
  • [307]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988486
    M. Röckner, S. Shang, and T. Zhang, “Well-posedness of stochastic partial differential equations with fully local monotone coefficients”, Mathematische Annalen , 2024.
    PUB | DOI | WoS
     
  • [306]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988477
    Z. Hao, M. Röckner, and X. Zhang, “Strong Convergence of Propagation of Chaos for McKean–Vlasov SDEs with Singular Interactions”, SIAM Journal on Mathematical Analysis , vol. 56, 2024, pp. 2661-2713.
    PUB | DOI | WoS
     
  • [305]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988233
    M. Röckner, W. Wu, and Y. Xie, “Stochastic Generalized Porous Media Equations Over σ-finiteMeasure Spaces with Non-continuous Diffusivity Function”, Potential Analysis, 2024.
    PUB | DOI | WoS
     
  • [304]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979256 OA
    M. Röckner, Y. Su, and D. Zhang, “Multi solitary waves to stochastic nonlinear Schrodinger equations”, Probability Theory and Related Fields, vol. 186, 2023, pp. 64.
    PUB | PDF | DOI | WoS
     
  • [303]
    2023 | Preprint | Angenommen | PUB-ID: 2967998
    S. Herr, et al., “The three dimensional stochastic Zakharov system”, The Annals of Probability, Accepted.
    PUB | arXiv
     
  • [302]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987158
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes”, Theory of Probability and its Applications, vol. 68, 2023, pp. 342-369.
    PUB | DOI | WoS
     
  • [301]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2985875
    L. Li and M. Röckner, “On the Restriction of a Right Process Outside a Negligible Set”, Potential Analysis , 2023.
    PUB | DOI | WoS
     
  • [300]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983730
    M. Röckner, Y. Su, and D. Zhang, “Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations”, Transactions of the American Mathematical Society, 2023.
    PUB | DOI | WoS
     
  • [299]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983736
    M. Röckner, L. Xie, and L. Yang, “Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients ”, Journal of Functional Analysis, vol. 285, 2023, : 110103.
    PUB | DOI | WoS
     
  • [298]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982786
    V. Barbu and M. Röckner, “The Evolution to Equilibrium of Solutions to Nonlinear Fokker-Planck Equation”, Indiana University Mathematics Journal , vol. 72, 2023, pp. 89-131.
    PUB | DOI | WoS
     
  • [297]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982779
    V. Barbu and M. Röckner, “Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients”, SIAM Journal on Mathematical Analysis, vol. 55, 2023, pp. 1-18.
    PUB | DOI | WoS
     
  • [296]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982418
    S. Albeverio, et al., “Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus”, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24, 2023, pp. 33-69.
    PUB | WoS
     
  • [295]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2982408
    V. Barbu, M. Röckner, and D. Zhang, “Recent Progress on Multi-bubble Blow-ups and Multi-solitons to (Stochastic) Focusing Nonlinear Schrodinger Equations”, Vietnam Journal of Mathematics , 2023.
    PUB | DOI | WoS
     
  • [294]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980948
    M. Cheng, Z. Liu, and M. Röckner, “Averaging principle for stochastic complex Ginzburg-Landau equations”, Journal of Differential Equations, vol. 368, 2023, pp. 58-104.
    PUB | DOI | WoS
     
  • [293]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2980277
    L. Beznea, I. Cimpean, and M. Röckner, “Strong Feller semigroups and Markov processes: a counterexample”, Stochastics and Partial Differential Equations : Analysis and Computations , 2023.
    PUB | DOI | WoS
     
  • [292]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980007
    V. Barbu and M. Röckner, “Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: The degenerate case”, Journal of Functional Analysis, vol. 285, 2023, : 109980.
    PUB | DOI | WoS
     
  • [291]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979711
    Y. Kozitsky and M. Röckner, “A Markov process for a continuum infinite particle system with attraction*”, Electronic Journal of Probability , vol. 28, 2023, pp. 1-59.
    PUB | DOI | WoS
     
  • [290]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978304
    W. Liu, et al., “Strong Averaging Principle for Slow-Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients”, Applied Mathematics and Optimization , vol. 87, 2023, : 39.
    PUB | DOI | WoS
     
  • [289]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969519
    M. Röckner and G. Zhao, “SDEs with critical time dependent drifts: Weak solutions”, Bernoulli , vol. 29, 2023, pp. 757-784.
    PUB | DOI | WoS
     
  • [288]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969174
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Applications of Zvonkin's Transform to Stationary Kolmogorov Equations”, Doklady Mathematics, vol. 106, 2022, pp. 318-321.
    PUB | DOI | WoS
     
  • [287]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967252
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Zvonkin's transform and the regularity of solutions to double divergence form elliptic equations”, Communications in Partial Differential Equations , 2022.
    PUB | DOI | WoS
     
  • [286]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241
    L. Banas, M. Röckner, and A. Wilke, “Correction to: Convergent numerical approximation of the stochastic total variation flow (vol 9, pg 437, 2021)”, Stochastics and Partial Differential Equations : Analysis and Computations , 2022.
    PUB | DOI | WoS
     
  • [285]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963459
    P. Ren, M. Röckner, and F.-Y. Wang, “Linearization of nonlinear Fokker-Planck equations and applications”, Journal of Differential Equations , vol. 322, 2022, pp. 1-37.
    PUB | DOI | WoS
     
  • [284]
    2022 | Diskussionspapier | Veröffentlicht | PUB-ID: 2962548 OA
    B. Goldys, M. Nendel, and M. Röckner, Operator Semigroups in the Mixed Topology and the Infinitesimal description of Markov Processes, Center for Mathematical Economics Working Papers, vol. 665, Bielefeld: Center for Mathematical Economics, 2022.
    PUB | PDF
     
  • [283]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962448
    M. Röckner, L. Xie, and L. Yang, “Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations”, Stochastics and Partial Differential Equations: Analysis and Computations , 2022.
    PUB | DOI | WoS
     
  • [282]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961636
    V. Barbu and M. Röckner, “The invariance principle for nonlinear Fokker-Planck equations”, Journal of Differential Equations , vol. 315, 2022, pp. 200-221.
    PUB | DOI | WoS
     
  • [281]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960405
    M. Nendel and M. Röckner, “Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems Read More: https://epubs.siam.org/doi/10.1137/20M1314823”, SIAM Journal on Control and Optimization, vol. 59, 2021, pp. 4400-4428.
    PUB | DOI | WoS
     
  • [280]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2959755
    V. Barbu and M. Röckner, “Correction to: Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs ”, Stochastics and Partial Differential Equations: Analysis and Computations , 2021.
    PUB | DOI | WoS
     
  • [279]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955128
    S. Federico, et al., “On a Class of Infinite-Dimensional Singular Stochastic Control Problems ”, SIAM Journal on Control and Optimization, vol. 59, 2021, pp. 1680-1704.
    PUB | DOI | WoS
     
  • [278]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957066
    W. Liu, M. Röckner, and J.L. da Silva, “Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations”, Journal of Functional Analysis, vol. 281, 2021, : 109135.
    PUB | DOI | WoS
     
  • [277]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956999
    N.R. Majid and M. Röckner, “The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck processes with Levy noise in Hilbert spaces”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 24, 2021, : 2150011.
    PUB | DOI | WoS
     
  • [276]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278
    M. Röckner, H. Yang, and R. Zhu, “Conservative stochastic two-dimensional Cahn–Hilliard equation”, Annals of Applied Probability, vol. 31, 2021, pp. 1336-1375.
    PUB | DOI | WoS
     
  • [275]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955367
    M. Röckner and L. Xie, “Diffusion approximation for fully coupled stochastic differential equations”, Annals of Probability, vol. 49, 2021, pp. 1205-1236.
    PUB | DOI | WoS
     
  • [274]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955376
    Y. Kozitsky and M. Röckner, “A Markov process for an infinite interacting particle system in the continuum”, Electronic Journal of Probability , vol. 26, 2021, pp. 1-53.
    PUB | DOI | WoS
     
  • [273]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954682
    M. Röckner and L. Xie, “Averaging Principle and Normal Deviations for Multiscale Stochastic Systems”, Communications in Mathematical Physics, vol. 383, 2021, pp. 1889–1937.
    PUB | DOI | WoS
     
  • [272]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954223
    S.-Y. Ha, J. Jung, and M. Röckner, “Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication”, Journal of Differential Equations, vol. 284, 2021, pp. 39-82.
    PUB | DOI | WoS
     
  • [271]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954224
    M. Röckner and X. Zhang, “Well-posedness of distribution dependent SDEs with singular drifts”, Bernoulli , vol. 27, 2021, pp. 1131-1158.
    PUB | DOI | WoS
     
  • [270]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953834
    M. Röckner, X. Sun, and Y. Xie, “Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations”, Annales de l'Institut Henri Poincaré (B): Probability and Statistics, vol. 57, 2021, pp. 547-576.
    PUB | DOI | WoS
     
  • [269]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2952713
    V. Barbu and M. Röckner, “Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations”, Journal of Functional Analysis, vol. 280, 2021, : 108926.
    PUB | DOI | WoS
     
  • [268]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951302
    A. Lunardi and M. Röckner, “Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces”, Journal of the London Mathematical Society , 2021.
    PUB | DOI | WoS
     
  • [267]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950202
    Z. Hao, M. Röckner, and X. Zhang, “Euler scheme for density dependent stochastic differential equations”, Journal of Differential Equations, vol. 274, 2021, pp. 996-1014.
    PUB | DOI | WoS
     
  • [266]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942720 OA
    L. Banas, M. Röckner, and A. Wilke, “Convergent numerical approximation of the stochastic total variation flow”, Stochastics and Partial Differential Equations : Analysis and Computations , vol. 9, 2020, pp. 437-471.
    PUB | PDF | DOI | WoS
     
  • [265]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945459
    V. Barbu and M. Röckner, “From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE”, Annals of Probability, vol. 48, 2020, pp. 1902-1920.
    PUB | DOI | WoS
     
  • [264]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948625
    L. Beznea, I. Cimpean, and M. Röckner, “A natural extension of Markov processes and applications to singular SDEs”, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, vol. 56, 2020, pp. 2480-2506.
    PUB | DOI | WoS
     
  • [263]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2946115
    V. Barbu and M. Röckner, “Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs”, Stochastics and Partial Differential Equations: Analysis and Computations , 2020.
    PUB | DOI | WoS
     
  • [262]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946143
    V. Barbu, M. Röckner, and D. Zhang, “Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces”, SIAM Journal on Control and Optimization, vol. 58, 2020, pp. 2383-2410.
    PUB | DOI | WoS
     
  • [261]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945609
    M. Gordina, M. Röckner, and A. Teplyaev, “Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities”, Probability Theory and Related Fields, 2020.
    PUB | DOI | WoS
     
  • [260]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945115
    M. Röckner, L. Xie, and X. Zhang, “Superposition principle for non-local Fokker-Planck-Kolmogorov operators”, PROBABILITY THEORY AND RELATED FIELDS, 2020.
    PUB | DOI | WoS
     
  • [259]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134
    M. Röckner, et al., “STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS”, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 52, 2020, pp. 2237-2274.
    PUB | DOI | WoS
     
  • [258]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943809
    G. Da Prato, F. Flandoli, and M. Röckner, “Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure”, STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2020.
    PUB | DOI | WoS
     
  • [257]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941889
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “On the Ambrosio-Figalli-Trevisan Superposition Principle for Probability Solutions to Fokker-Planck-Kolmogorov Equations”, JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020.
    PUB | DOI | WoS
     
  • [256]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940088
    W. Liu, et al., “Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients”, JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 268, 2020, pp. 2910-2948.
    PUB | DOI | WoS
     
  • [255]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2936013 OA
    M. Nendel and M. Röckner, Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems, Center for Mathematical Economics Working Papers, vol. 618, Bielefeld: Center for Mathematical Economics, 2019.
    PUB | PDF
     
  • [254]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2935374 OA
    S. Federico, et al., On a Class of Infinite-Dimensional Singular Stochastic Control Problems, Center for Mathematical Economics Working Papers, vol. 614, Bielefeld: Center for Mathematical Economics, 2019.
    PUB | PDF
     
  • [253]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936605
    M. Röckner, R. Zhu, and X. Zhu, “A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA”, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, vol. 24, 2019, pp. 4021-4030.
    PUB | DOI | WoS
     
  • [252]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934374
    X. Huang, M. Röckner, and F.-Y. Wang, “Nonlinear Fokker–Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs”, Discrete and Continuous Dynamical Systems, vol. 39, 2019, pp. 3017-3035.
    PUB | DOI | WoS
     
  • [251]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935865
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures”, Journal of Functional Analysis, vol. 276, 2019, pp. 3681-3713.
    PUB | DOI | WoS
     
  • [250]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937112
    G. Da Prato, F. Flandoli, and M. Röckner, “Absolutely continuous solutions for continuity equations in Hilbert spaces”, Journal de Mathématiques Pures et Appliquées, vol. 128, 2019, pp. 42-86.
    PUB | DOI | WoS
     
  • [249]
    2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2939170
    I. Munteanu and M. Röckner, “Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions”, JOURNAL OF EVOLUTION EQUATIONS, 2019.
    PUB | DOI | WoS
     
  • [248]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937867
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “On the Superposition Principle for Fokker-Planck-Kolmogorov Equations”, DOKLADY MATHEMATICS, vol. 100, 2019, pp. 363-366.
    PUB | DOI | WoS
     
  • [247]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937858
    G. Da Prato, A. Jentzen, and M. Röckner, “A MILD ITO FORMULA FOR SPDES”, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 372, 2019, pp. 3755-3807.
    PUB | DOI | WoS
     
  • [246]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936025
    L. Beznea, I. Cimpean, and M. Röckner, “A new approach to the existence of invariant measures for Markovian semigroups”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, vol. 55, 2019, pp. 977-1000.
    PUB | DOI | WoS
     
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    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
    S. Herr, M. Röckner, and D. Zhang, “Scattering for stochastic nonlinear Schrödinger equations”, Communications in Mathematical Physics, vol. 368, 2019, pp. 843–884.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [244]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
    W. Liu, M. Röckner, and J.L. da Silva, “Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives”, SIAM Journal on Mathematical Analysis, vol. 50, 2018, pp. 2588-2607.
    PUB | DOI | WoS
     
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931232
    V. Barbu and M. Röckner, “Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise”, Journal of Differential Equations, vol. 265, 2018, pp. 4993-5030.
    PUB | DOI | WoS
     
  • [242]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930270
    V. Barbu, M. Röckner, and D. Zhang, “Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise”, The Annals of Probability, vol. 46, 2018, pp. 1957-1999.
    PUB | DOI | WoS
     
  • [241]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290
    M. Röckner, et al., “Stochastic heat equations with values in a Riemannian manifold”, Rendiconti Lincei - Matematica e Applicazioni, vol. 29, 2018, pp. 205-213.
    PUB | DOI | WoS
     
  • [240]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931261
    V. Barbu and M. Röckner, “Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations ”, SIAM Journal on Mathematical Analysis, vol. 50, 2018, pp. 4246-4260.
    PUB | DOI | WoS
     
  • [239]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919313
    I. Munteanu and M. Röckner, “Total variation flow perturbed by gradient linear multiplicative noise”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 21, 2018, : 1850003 .
    PUB | DOI | WoS
     
  • [238]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919046
    L. Beznea, I. Cimpean, and M. Röckner, “Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents”, Stochastic Processes and their Applications, vol. 128, 2018, pp. 1405-1437.
    PUB | DOI | WoS
     
  • [237]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920683
    M. Röckner, W. Wu, and Y. Xie, “Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities”, Stochastic Processes and their Applications, vol. 128, 2018, pp. 2131-2151.
    PUB | DOI | WoS
     
  • [236]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931102
    V. Barbu and M. Röckner, “Variational solutions to nonlinear stochastic differential equations in Hilbert spaces”, Stochastics and Partial Differential Equations: Analysis and Computations, vol. 6, 2018, pp. 500-524.
    PUB | DOI | WoS
     
  • [235]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
    A. Grigoryan, S. Ouyang, and M. Röckner, “Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities”, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, vol. 736, 2018, pp. 1-31.
    PUB | DOI | WoS
     
  • [234]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932801
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations”, DOKLADY MATHEMATICS, vol. 98, 2018, pp. 452-457.
    PUB | DOI | WoS
     
  • [233]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917179
    M. Röckner and F.-Y. Wang, “Closability of quadratic forms associated to invariant probability measures of SPDEs”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 20, 2017, : 15.
    PUB | DOI | WoS
     
  • [232]
    2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2931386
    S. Albeverio, M. Röckner, and M.W. Yoshida, “Quantum Fields”, Let Us Use White Noise, T. Hida and L. Streit, eds., New Jersey, London: World Scientific, 2017, pp.37-65.
    PUB | DOI | Inspire
     
  • [231]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916350
    V. Barbu, M. Röckner, and F. Russo, “Doubly probabilistic representation for the stochastic porous media type equation”, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, vol. 53, 2017, pp. 2043-2073.
    PUB | DOI | WoS
     
  • [230]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914407
    V. Barbu and M. Röckner, “Global solutions to random 3D vorticity equations for small initial data”, Journal of Differential Equations, vol. 263, 2017, pp. 5395-5411.
    PUB | DOI | WoS
     
  • [229]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2909443
    V. Barbu, M. Röckner, and D. Zhang, “The stochastic logarithmic Schrodinger equation”, Journal de Mathématiques Pures et Appliquées, vol. 107, 2017, pp. 123-149.
    PUB | DOI | WoS
     
  • [228]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914999
    V. Barbu, M. Röckner, and D. Zhang, “Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case”, Journal of Differential Equations, vol. 263, 2017, pp. 7919-7940.
    PUB | DOI | WoS
     
  • [227]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916113
    V. Barbu and M. Röckner, “A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise”, Stochastics and Partial Differential Equations: Analysis and Computations, vol. 5, 2017, pp. 457-471.
    PUB | DOI | WoS
     
  • [226]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914679
    M. Röckner and F. Russo, “Uniqueness for a class of stochastic Fokker-Planck and porous media equations”, Journal of Evolution Equations, vol. 17, 2017, pp. 1049-1062.
    PUB | DOI | WoS
     
  • [225]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757
    M. Röckner, R. Zhu, and X. Zhu, “Ergodicity for the Stochastic Quantization Problems on the 2D-Torus”, Communications in Mathematical Physics, vol. 353, 2017, pp. 1061-1090.
    PUB | DOI | WoS
     
  • [224]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002
    M. Röckner, R. Zhu, and X. Zhu, “Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applications”, Journal of Functional Analysis, vol. 272, 2017, pp. 4263-4303.
    PUB | DOI | WoS
     
  • [223]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486
    B. Gess and M. Röckner, “STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS”, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 369, 2017, pp. 3017-3045.
    PUB | DOI | WoS
     
  • [222]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907737
    M. Röckner, J. Shin, and G. Trutnau, “Non-symmetric distorted Brownian motion: Strong solutions, strong Feller property and non-explosion results”, Discrete and Continuous Dynamical Systems. Series B, vol. 21, 2016, pp. 3219-3237.
    PUB | DOI | WoS
     
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
    G. Da Prato, et al., “Strong uniqueness for SDEs in Hilbert spaces with nonregular drift”, The Annals of Probability, vol. 44, 2016, pp. 1985-2023.
    PUB | DOI | WoS
     
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904065
    V. Barbu and M. Röckner, “Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise”, Stochastic Processes and their Applications, vol. 126, 2016, pp. 2163-2179.
    PUB | DOI | WoS
     
  • [219]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
    V. Barbu, G. Da Prato, and M. Röckner, “Transition Semigroup”, Stochastic porous media equations, V. Barbu, G. Da Prato, and M. Röckner, eds., Lecture Notes in Mathematics, vol. 2163, Cham: Springer Int Publishing AG, 2016, pp.167-195.
    PUB | DOI | WoS
     
  • [218]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917171
    C. Marinelli and M. Röckner, “On the maximal inequalities of Burkholder, Davis and Gundy”, Expositiones Mathematicae, vol. 34, 2016, pp. 1-26.
    PUB | DOI | WoS
     
  • [217]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917135
    V. Barbu, M. Röckner, and D. Zhang, “Stochastic nonlinear Schrödinger equations”, Nonlinear Analysis: Theory, Methods & Applications, vol. 136, 2016, pp. 168-194.
    PUB | DOI | WoS
     
  • [216]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2902117
    S.-X. Ouyang and M. Röckner, “Time inhomogeneous generalized Mehler semigroups and skew convolution equations”, Forum Mathematicum, vol. 28, 2016, pp. 339-376.
    PUB | DOI | WoS
     
  • [215]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901305
    M. Röckner and G. Trutnau, “About the infinite dimensional skew and obliquely reflected Ornstein-Uhlenbeck process”, Infinite Dimensional Analysis Quantum Probability and Related Topics, vol. 18, 2016, : 1550031.
    PUB | DOI | WoS
     
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796
    V. Barbu, G. Da Prato, and M. Röckner, “Equations with Lipschitz Nonlinearities”, Stochastic porous media equations, V. Barbu, G. Da Prato, and M. Röckner, eds., Lecture Notes in Mathematics, vol. 2163, Cham: Springer , 2016, pp.19-47.
    PUB | DOI | WoS
     
  • [213]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations”, Journal of Functional Analysis, vol. 271, 2016, pp. 1262-1300.
    PUB | DOI | WoS
     
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917155
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Estimates of distances between transition probabilities of diffusions”, Doklady Mathematics, vol. 93, 2016, pp. 135-139.
    PUB | DOI | WoS
     
  • [211]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797
    V. Barbu, G. Da Prato, and M. Röckner, “Equations with Maximal Monotone Nonlinearities”, Stochastic porous media equations, V. Barbu, G. Da Prato, and M. Röckner, eds., Lecture Notes in Mathematics, vol. 2163, Cham: Springer , 2016, pp.49-93.
    PUB | DOI | WoS
     
  • [210]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798
    V. Barbu, G. Da Prato, and M. Röckner, “Variational Approach to Stochastic Porous Media Equations”, Stochastic porous media equations, V. Barbu, G. Da Prato, and M. Röckner, eds., Lecture Notes in Mathematics, vol. 2163, Cham: Springer Int Publishing AG, 2016, pp.95-106.
    PUB | DOI | WoS
     
  • [209]
    2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2911795
    V. Barbu, G. Da Prato, and M. Röckner, eds., Stochastic Porous Media Equations Preface, Lecture Notes in Mathematics, vol. 2163, Cham: Springer, 2016.
    PUB | DOI | WoS
     
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794
    V. Barbu, G. Da Prato, and M. Röckner, “Stochastic Porous Media Equations Introduction”, Stochastic porous media equations, V. Barbu, G. Da Prato, and M. Röckner, eds., Lecture Notes in Mathematics, vol. 2163, Cham: Springer Int Publishing AG, 2016, pp.1-18.
    PUB | DOI | WoS
     
  • [207]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911800
    V. Barbu, G. Da Prato, and M. Röckner, “The Stochastic Porous Media Equations in ℝ<sup>d</sup>”, Stochastic porous media equations, V. Barbu, G. Da Prato, and M. Röckner, eds., Lecture Notes in Mathematics, vol. 2163, Cham: Springer Int Publishing AG, 2016, pp.133-165.
    PUB | DOI | WoS
     
  • [206]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911799
    V. Barbu, G. Da Prato, and M. Röckner, “L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations”, Stochastic porous media equations, V. Barbu, G. Da Prato, and M. Röckner, eds., Lecture Notes in Mathematics, vol. 2163, Cham: Springer Int Publishing AG, 2016, pp.107-131.
    PUB | DOI | WoS
     
  • [205]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2733472
    V. Barbu, M. Röckner, and F. Russo, “Stochastic porous media equations in ℝ<sup>d</sup>”, Journal de Mathématiques Pures et Appliquées, vol. 103, 2015, pp. 1024-1052.
    PUB | DOI | WoS
     
  • [204]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730756
    A. Jentzen and M. Röckner, “A Milstein Scheme for SPDEs”, Foundations of Computational Mathematics, vol. 15, 2015, pp. 313-362.
    PUB | DOI | WoS
     
  • [203]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2780571
    V. Barbu and M. Röckner, “An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise”, Journal of the European Mathematical Society, vol. 17, 2015, pp. 1789-1815.
    PUB | DOI | WoS
     
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
    V.I. Bogachev, et al., “An analytic approach to infinite-dimensional continuity and fokker-planck-kolmogorov equations”, Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, vol. 14, 2015, pp. 983-1023.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786346
    V.I. Bogachev, et al., “On the uniqueness of solutions to continuity equations”, Journal of Differential Equations, vol. 259, 2015, pp. 3854-3873.
    PUB | DOI | WoS
     
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901026
    G. Da Prato, et al., “Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term”, Journal of Theoretical Probability, vol. 28, 2015, pp. 1571-1600.
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  • [199]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2736501
    L. Beznea and M. Röckner, “On the Existence of the Dual Right Markov Process and Applications”, Potential Analysis, vol. 42, 2015, pp. 617-627.
    PUB | DOI | WoS
     
  • [198]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2772441
    M. Röckner, R. Zhu, and X. Zhu, “Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions”, Nonlinear Analysis Theory Methods & Applications, vol. 125, 2015, pp. 358-397.
    PUB | DOI | WoS
     
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461
    M. Röckner, R. Zhu, and X. Zhu, “BV functions in a Gelfand triple for differentiable measure and its applications”, Forum Mathematicum, vol. 27, 2015, pp. 1657-1687.
    PUB | DOI | WoS
     
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2759912
    M. Röckner, R. Zhu, and X. Zhu, “Sub and supercritical stochastic quasi-geostrophic equation”, The Annals of Probability, vol. 43, 2015, pp. 1202-1273.
    PUB | DOI | WoS
     
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045
    B. Gess and M. Röckner, “Singular-degenerate Multivalued Stochastic Fast Diffusion Equations”, Siam Journal on Mathematical Analysis, vol. 47, 2015, pp. 4058-4090.
    PUB | DOI | WoS
     
  • [194]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685876
    V. Barbu, M. Röckner, and D. Zhang, “Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach”, Journal of Nonlinear Science, vol. 24, 2014, pp. 383-409.
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2673605
    A.V. Kolesnikov and M. Röckner, “On continuity equations in infinite dimensions with non-Gaussian reference measure”, Journal of Functional Analysis, vol. 266, 2014, pp. 4490-4537.
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412
    S. Albeverio, M. Röckner, and M.W. Yoshida, “A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z)”, Infinite Dimensional Analysis Quantum Probability and Related Topics, vol. 17, 2014, : 1450002.
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699769
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution”, Doklady Mathematics, vol. 90, 2014, pp. 424-428.
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660829
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “On parabolic inequalities for generators of diffusions with jumps”, Probability Theory and Related Fields, vol. 158, 2014, pp. 465-476.
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627
    M. Röckner, R. Zhu, and X. Zhu, “A note on stochastic semilinear equations and their associated Fokker-Planck equations”, Journal of Mathematical Analysis and Applications, vol. 415, 2014, pp. 83-109.
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363
    M. Röckner, R. Zhu, and X. Zhu, “Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise”, Stochastic Processes and their Applications, vol. 124, 2014, pp. 1974-2002.
    PUB | DOI | WoS
     
  • [187]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612709
    V. Barbu and M. Röckner, “Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise”, Archive For Rational Mechanics And Analysis, vol. 209, 2013, pp. 797-834.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625721
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations”, Journal Of Evolution Equations, vol. 13, 2013, pp. 577-593.
    PUB | DOI | WoS
     
  • [185]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548347
    W. Liu and M. Röckner, “Local and global well-posedness of SPDE with generalized coercivity conditions”, Journal Of Differential Equations, vol. 254, 2013, pp. 725-755.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584618
    M. Röckner and F.-Y. Wang, “General extinction results for stochastic partial differential equations and applications”, Journal Of The London Mathematical Society, vol. 87, 2013, pp. 545-560.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635459
    M. Hinz, M. Röckner, and A. Teplyaev, “Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces”, Stochastic Processes And Their Applications, vol. 123, 2013, pp. 4373-4406.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612720
    W. Liu, M. Röckner, and X.-C. Zhu, “Large deviation principles for the stochastic quasi-geostrophic equations”, Stochastic Processes And Their Applications, vol. 123, 2013, pp. 3299-3327.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2607125
    V. Barbu and M. Röckner, “The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise”, Journal Of Differential Equations, vol. 255, 2013, pp. 560-571.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635507
    M. Röckner, F.-Y. Wang, and T. Zhang, “Stochastic generalized porous media equations with reflection”, Stochastic Processes And Their Applications, vol. 123, 2013, pp. 3943-3962.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2636018
    G. Da Prato, et al., “Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift”, The Annals Of Probability, vol. 41, 2013, pp. 3306-3344.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584527
    D. Hagedorn, et al., “Gibbs states over the cone of discrete measures”, Journal Of Functional Analysis, vol. 264, 2013, pp. 2550-2583.
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560367
    G. Da Prato and M. Röckner, “Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities”, Rendiconti Lincei - Matematica E Applicazioni, vol. 23, 2012, pp. 361-376.
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2530570
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “On Positive and Probability Solutions to the Stationary Fokker-Planck-Kolmogorov Equation”, Doklady Mathematics, vol. 85, 2012, pp. 350-354.
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2489444
    V. Barbu and M. Röckner, “Localization of solutions to stochastic porous media equations: finite speed of propagation”, Electronic Journal of Probability, vol. 17, 2012, : 10.
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493091
    V. Barbu, G. Da Prato, and M. Röckner, “Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise”, Journal of Mathematical Analysis and Applications, vol. 389, 2012, pp. 147-164.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2474345
    S.-X. Ouyang, M. Röckner, and F.-Y. Wang, “Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump”, Potential Analysis, vol. 36, 2012, pp. 301-315.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454701
    A. Jentzen and M. Röckner, “Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise”, Journal of Differential Equations, vol. 252, 2012, pp. 114-136.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493118
    V. Barbu and M. Röckner, “Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions”, Communications in Mathematical Physics, vol. 311, 2012, pp. 539-555.
    PUB | DOI | WoS
     
  • [170]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454705
    M. Röckner and T. Zhang, “Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles”, Journal of Differential Equations, vol. 252, 2012, pp. 716-744.
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923
    M. Röckner, R. Zhu, and X. Zhu, “STOCHASTIC QUASI-GEOSTROPHIC EQUATION”, Infinite Dimensional Analysis Quantum Probability and Related Topics, vol. 15, 2012, : 1250001.
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756
    M. Röckner, R. Zhu, and X. Zhu, “The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple”, The Annals of Probability, vol. 40, 2012, pp. 1759-1794.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548494
    Y. Kondratiev, T. Pasurek, and M. Röckner, “GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH”, Reviews In Mathematical Physics, vol. 24, 2012, : 1250026.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394382
    V. Barbu and M. Röckner, “On a random scaled porous media equation”, Journal of Differential Equations, vol. 251, 2011, pp. 2494-2514.
    PUB | DOI | WoS
     
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454846
    V. Barbu, M. Röckner, and F. Russo, “Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case”, Probability Theory and Related Fields, vol. 151, 2011, pp. 1-43.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394377
    L. Beznea, A. Cornea, and M. Röckner, “Potential theory of infinite dimensional Levy processes”, Journal of Functional Analysis, vol. 261, 2011, pp. 2845-2876.
    PUB | DOI | WoS
     
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394401
    L. Beznea and M. Röckner, “Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities”, Complex Analysis and Operator Theory, vol. 5, 2011, pp. 731-741.
    PUB | DOI | WoS
     
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2093770
    M. Gordina, M. Röckner, and F.-Y. Wang, “Dimension-Independent Harnack Inequalities for Subordinated Semigroups”, Potential Analysis, vol. 34, 2011, pp. 293-307.
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  • [161]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2440773
    L. Beznea and M. Röckner, “From resolvents to cadlag processes through compact excessive functions and applications to singular SDE on Hilbert spaces”, Bulletin des Sciences Mathématiques, vol. 135, 2011, pp. 844-870.
    PUB | DOI | WoS
     
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388
    W.-J. Beyn, et al., “The Global Random Attractor for a Class of Stochastic Porous Media Equations”, Communications in Partial Differential Equations, vol. 36, 2011, pp. 446-469.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041
    B. Gess, W. Liu, and M. Röckner, “Random attractors for a class of stochastic partial differential equations driven by general additive noise”, Journal of Differential Equations, vol. 251, 2011, pp. 1225-1253.
    PUB | DOI | WoS
     
  • [158]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929609
    C. Marinelli and M. Röckner, “On uniqueness of mild solutions for dissipative stochastic evolution equations”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 13, 2010, pp. 363-376.
    PUB | DOI | WoS
     
  • [157]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796284
    M. Röckner and X. Zhang, “Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients”, Comptes Rendus Mathematique, vol. 348, 2010, pp. 435-438.
    PUB | DOI | WoS
     
  • [156]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1793861
    W. Liu and M. Röckner, “SPDE in Hilbert space with locally monotone coefficients”, Journal of Functional Analysis, vol. 259, 2010, pp. 2902-2922.
    PUB | DOI | WoS
     
  • [155]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589498
    C. Marinelli, C. Prévôt, and M. Röckner, “Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise”, Journal of Functional Analysis, vol. 258, 2010, pp. 616-649.
    PUB | DOI | WoS
     
  • [154]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929203
    C. Marinelli and M. Röckner, “Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise”, Electronic Journal of Probability , vol. 15, 2010, pp. 1528-1555.
    PUB | WoS
     
  • [153]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588937
    M. Röckner, T. Zhang, and X. Zhang, “Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations”, Applied Mathematics and Optimization, vol. 61, 2010, pp. 267-285.
    PUB | DOI | WoS
     
  • [152]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794324
    V. Bogachev, G. Da Prato, and M. Röckner, “Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces”, Journal of Evolution Equations, vol. 10, 2010, pp. 487-509.
    PUB | DOI | WoS
     
  • [151]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796081
    M. Röckner and F.-Y. Wang, “LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 13, 2010, pp. 27-37.
    PUB | DOI | WoS
     
  • [150]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087
    M. Röckner, R. Zhu, and X. Zhu, “BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space”, Comptes Rendus Mathematique, vol. 348, 2010, pp. 1175-1178.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1590687
    V. Barbu, G. Da Prato, and M. Röckner, “Stochastic Nonlinear Diffusion Equations with Singular Diffusivity ”, SIAM Journal on Mathematical Analysis, vol. 41, 2009, pp. 1106-1120.
    PUB | DOI | WoS
     
  • [148]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796390
    M. Röckner and X. Zhang, “Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 12, 2009, pp. 525-549.
    PUB | DOI | WoS
     
  • [147]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633336
    M. Röckner and X. Zhang, “Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity”, Probability Theory and Related Fields, vol. 145, 2009, pp. 211-267.
    PUB | DOI | WoS
     
  • [146]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634128
    B. Goldys, M. Röckner, and X. Zhang, “Martingale solutions and Markov selections for stochastic partial differential equations”, Stochastic Processes and their Applications, vol. 119, 2009, pp. 1725-1764.
    PUB | DOI | WoS
     
  • [145]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633319
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Lower estimates of densities of solutions of elliptic equations for measures”, Doklady Mathematics, vol. 79, 2009, pp. 329-334.
    PUB | DOI | WoS
     
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591586
    M. Röckner and Y. Wang, “A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 12, 2009, pp. 353-358.
    PUB | DOI | WoS
     
  • [143]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633933
    V. Barbu, G. Da Prato, and M. Röckner, “Existence of strong solutions for stochastic porous media equation under general monotonicity conditions”, Annals of Probability, vol. 37, 2009, pp. 428-452.
    PUB | DOI | WoS
     
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589155
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Nonlinear evolution and transport equations for measures”, Doklady Mathematics, vol. 80, 2009, pp. 785-789.
    PUB | DOI | WoS
     
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636211
    V. Barbu, G. Da Prato, and M. Röckner, “Stochastic Porous Media Equations and Self-Organized Criticality”, Communications in Mathematical Physics, vol. 285, 2009, pp. 901-923.
    PUB | DOI | WoS
     
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591777
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Positive Densities of Transition Probabilities of Diffusion Processes”, Theory of Probability & Its Applications, vol. 53, 2009, pp. 194-215.
    PUB | DOI | WoS
     
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635920
    V. Barbu, G. Da Prato, and M. Röckner, “Finite time extinction for solutions to fast diffusion stochastic porous media equations”, Comptes Rendus Mathematique, vol. 347, 2009, pp. 81-84.
    PUB | DOI | WoS
     
  • [138]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704
    V.I. Bogachev, G. Da Prato, and M. Röckner, “Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces”, Journal of Functional Analysis, vol. 256, 2009, pp. 1269-1298.
    PUB | DOI | WoS
     
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795496
    V.I. Bogachev, N.V. Krylov, and M. Röckner, “Elliptic and parabolic equations for measures”, Russian Mathematical Surveys , vol. 64, 2009, pp. 973-1078.
    PUB | DOI | WoS
     
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636506
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes ”, Theory of Probability & Its Applications, vol. 52, 2008, pp. 209-236.
    PUB | DOI | WoS
     
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592104
    V. Barbu, G. Da Prato, and M. Röckner, “Existence and uniqueness of nonnegative solutions to the stochastic porous media equation”, Indiana University Mathematics Journal , vol. 57, 2008, pp. 187-211.
    PUB | DOI | WoS
     
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588038
    V.I. Bogachev, G. Da Prato, and M. Röckner, “Infinite dimensional Kolmogorov operators with time dependent drift coefficients”, Doklady Mathematics, vol. 77, 2008, pp. 276-280.
    PUB | DOI | WoS
     
  • [133]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1587187
    M. Röckner, B. Schmuland, and X. Zhang, “Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions”, Condensed Matter Physics , vol. 11, 2008, pp. 247-259.
    PUB | WoS
     
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636734
    M. Röckner and F.-Y. Wang, “Non-monotone stochastic generalized porous media equations”, Journal of Differential Equations, vol. 245, 2008, pp. 3898-3935.
    PUB | DOI | WoS
     
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586510
    V.I. Bogachev, G. Da Prato, and M. Röckner, “Parabolic equations for measures on infinite-dimensional spaces”, Doklady Mathematics, vol. 78, 2008, pp. 544-549.
    PUB | DOI | WoS
     
  • [130]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592500
    V.I. Bogachev, G. Da Prato, and M. Röckner, “On parabolic equations for measures”, Communications in Partial Differential Equations, vol. 33, 2008, pp. 397-418.
    PUB | DOI | WoS
     
  • [129]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592122
    L. Beznea, N. Boboc, and M. Röckner, “Markov processes associated with L-P-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations”, Comptes Rendus Mathematique, vol. 346, 2008, pp. 323-328.
    PUB | DOI | WoS
     
  • [128]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1636273
    Y. Kondratiev, E. Lytvynov, and M. Röckner, “Non-equilibrium stochastic dynamics in continuum: The free case”, CONDENSED MATTER PHYSICS, vol. 11, 2008, pp. 701-721.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
    C. Prévôt and M. Röckner, “Weak and Strong Solutions: the Yamada-Watanabe Theorem”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin: Springer, 2007, pp.121-132.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526
    C. Prévôt and M. Röckner, “The Bochner Integral”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin: Springer, 2007, pp.105-108.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520
    C. Prévôt and M. Röckner, “Stochastic Differential Equations in Finite Dimensions”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin: Springer, 2007, pp.43-54.
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
    C. Prévôt and M. Röckner, “Pseudo Inverse of Linear Operators”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin: Springer, 2007, pp.115-117.
    PUB | WoS
     
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594879
    J. Ren, M. Röckner, and X. Zhang, “Kusuoka-stroock formula on configuration space and regularities of local times with jumps”, Potential Analysis, vol. 26, 2007, pp. 363-396.
    PUB | DOI | WoS
     
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595371
    M. Röckner and T. Zhang, “Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles”, Potential Analysis, vol. 26, 2007, pp. 255-279.
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592663
    M. Röckner and G. Trutnau, “A remark on the generator of a right-continuous Markov process”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 10, 2007, pp. 633-640.
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529
    C. Prévôt and M. Röckner, “Nuclear and Hilbert-Schmidt Operators”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin: Springer, 2007, pp.109-113.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535
    C. Prévôt and M. Röckner, “Some Tools from Real Martingale Theory”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin: Springer, 2007, pp.119-119.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541
    C. Prévôt and M. Röckner, “Strong, Mild and Weak Solutions”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin: Springer, 2007, pp.133-136.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514
    C. Prévôt and M. Röckner, “Motivation, Aims and Examples”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berling: Springer, 2007, pp.1-4.
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523
    C. Prévôt and M. Röckner, “A Class of Stochastic Differential Equations”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin ; Heidelberg: Springer, 2007, pp.55-103.
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517
    C. Prévôt and M. Röckner, “The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion)”, A Concise Course on Stochastic Partial Differential Equations, C. Prévôt and M. Röckner, eds., Lecture Notes in Mathematics, vol. 1905, Berlin ; Heidelberg: Springer, 2007, pp.5-42.
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1632672
    V.I. Bogachev, et al., “Uniqueness of solutions to weak parabolic equations for measures”, Bulletin of the London Mathematical Society , vol. 39, 2007, pp. 631-640.
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631495
    Y. Kondratiev, E. Lytvynov, and M. Röckner, “Equilibrium Kawasaki dynamics of continuous particle systems”, INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol. 10, 2007, pp. 185-209.
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596324
    M. Grothaus, Y. Kondratiev, and M. Röckner, “N/V-limit for stochastic dynamics in continuous particle systems”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 121-160.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1874564
    M. Röckner and Z. Sobol, “Kolmogorov Equations in Infinite Dimensions: Well-Posedness, Regularity of Solutions, and Applications to Stochastic Generalized Burgers Equations”, The Annals of Probability, vol. 34, 2006, pp. 663-727.
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    2006 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1872394
    V.I. Bogachev, et al., “Gradient bounds for solutions of elliptic and parabolic equations”, Stochastic Differential Equations and Applications - VII, G. Da Prato and L. Tubaro, eds., Lecture notes in pure and applied mathematics, vol. 245, Boca Raton: Chapman & Hall/CRC, 2006, pp.27-34.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596907
    L. Beznea, N. Boboc, and M. Röckner, “Markov processes associated with L-p-resolvents and applications to stochastic differential equations on Hilbert space”, Journal of Evolution Equations, vol. 6, 2006, pp. 745-772.
    PUB | DOI | WoS
     
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597497
    L. Beznea, N. Boboc, and M. Röckner, “Quasi-regular Dirichlet forms and L-p-resolvents on measurable spaces”, Potential Analysis, vol. 25, 2006, pp. 269-282.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596393
    M. Röckner, F.-Y. Wang, and L. Wu, “Large deviations for stochastic generalized porous media equations”, Stochastic Processes and their Applications, vol. 116, 2006, pp. 1677-1689.
    PUB | DOI | WoS
     
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599439
    M. Röckner and F.-Y. Wang, “Functional inequalities for particle systems on Polish spaces”, Potential Analysis, vol. 24, 2006, pp. 223-243.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599008
    V. Barbu, et al., “Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case”, Journal of Functional Analysis, vol. 237, 2006, pp. 54-75.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893
    G. Da Prato, et al., “Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity”, Communications in Partial Differential Equations, vol. 31, 2006, pp. 277-291.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599748
    Y. Kondratiev, E. Lytvynov, and M. Röckner, “Infinite interacting diffusion particles I: Equilibrium process and its scaling limit”, FORUM MATHEMATICUM, vol. 18, 2006, pp. 9-43.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872405
    S. Bernabei, et al., “Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices”, Comptes Rendus Mathematique, vol. 341, 2005, pp. 675-678.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430
    V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Global regularity and bounds for solutions of parabolic equations for probability measures”, SIAM Theory of Probability and its Applications, vol. 50, 2005, pp. 561-581.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605208
    N.V. Krylov and M. Röckner, “Strong solutions of stochastic equations with singular time dependent drift”, Probability Theory and Related Fields, vol. 131, 2005, pp. 154-196.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600780
    V.I. Bogachev, N.V. Krylov, and M. Röckner, “Regularity and global bounds of densities of invariant measures of diffusion processes”, Doklady Mathematics, vol. 72, 2005, pp. 934-938.
    PUB | WoS
     
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    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1872422
    J. Ren and M. Röckner, “A remark on sets in infinite dimensional spaces with full or zero capacity”, Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory., Singapore: World Scientific, 2005, pp.177-186.
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    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1874572
    M. Röckner, “PDE Approach to Invariant and Gibbs Measures with Applications”, Infinite Dimensional Harmonic Analysis III, H. Heyer, ed., Infinite dimensional harmonic analysis, vol. 3, Hackensack, N.J: World Scientific, 2005, pp.351.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605081
    S. Cerrai and M. Röckner, “Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term”, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol. 41, 2005, pp. 69-105.
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    2005 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1874610
    S. Albeverio, et al., “Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and A-Priori Estimates”, Interacting Stochastic Systems, J.-D. Deuschel, ed., Berlin: Springer, 2005, pp.29-54.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608612
    M. Röckner and F.-Y. Wang, “On the spectrum of a class of non-sectorial diffusion operators”, Bulletin of the London Mathematical Society , vol. 36, 2004, pp. 95-104.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606483
    V.I. Bogachev, et al., “Global gradient bounds for dissipative diffusion operators”, Comptes Rendus Mathematique, vol. 339, 2004, pp. 277-282.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607633
    M. Röckner and Z. Sobol, “A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations”, Comptes Rendus Mathematique, vol. 338, 2004, pp. 945-949.
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    2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234
    G. Da Prato and M. Röckner, “Invariant Measures for a Stochastic Porous Medium Equation”, Stochastic Analysis and Related Topics, H. Kunita, S. Watanabe, and Y. Takahashi, eds., Advanced studies in pure mathematics, vol. 41, Tokyo: Mathematical Soc. of Japan, 2004, pp.13-29.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607410
    V.I. Bogachev, G. Da Prato, and M. Röckner, “Invariant measures of generalized stochastic porous medium equations”, Doklady Mathematics, vol. 69, 2004, pp. 321-325.
    PUB | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607686
    G. Da Prato and M. Röckner, “Weak solutions to stochastic porous media equations”, Journal of Evolution Equations, vol. 4, 2004, pp. 249-271.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606613
    M. Röckner and T.S. Zhang, “Sample path large deviations for diffusion processes on configuration spaces over a Riemannian manifold”, Publications of the Research Institute for Mathematical Sciences, vol. 40, 2004, pp. 385-427.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607414
    V.I. Bogachev, M. Röckner, and F.-Y. Wang, “Invariance implies Gibbsian: Some new results”, Communications in Mathematical Physics, vol. 248, 2004, pp. 335-355.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608272
    S. Cerrai and M. Röckner, “Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term”, Annals of Probability, vol. 32, 2004, pp. 1100-1139.
    PUB | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607902
    V.I. Bogachev, G. Da Prato, and M. Röckner, “Existence of solutions to weak parabolic equations for measures”, Proceedings of the London Mathematical Society, vol. 88, 2004, pp. 753-774.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609133
    P. Lescot and M. Röckner, “Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift”, Potential Analysis, vol. 20, 2004, pp. 317-344.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607625
    Y. Kondratiev, A.Y. Konstantinov, and M. Röckner, “Uniqueness of diffusion generators for two types of particle systems with singular interactions”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 212, 2004, pp. 357-372.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608071
    Y. Kondratiev, A.L. Rebenko, and M. Röckner, “On diffusion dynamics for continuous systems with singular superstable interaction”, JOURNAL OF MATHEMATICAL PHYSICS, vol. 45, 2004, pp. 1826-1848.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608265
    S. Albeverio, et al., “Euclidean Gibbs measures on loop lattices: Existence and a priori estimates”, ANNALS OF PROBABILITY, vol. 32, 2004, pp. 153-190.
    PUB | WoS
     
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609893
    M. Röckner and F.-Y. Wang, “Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds”, Forum Mathematicum, vol. 15, 2003, pp. 893-921.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609835
    V.I. Bogachev and M. Röckner, “On L-P-uniqueness of symmetric diffusion operators on Riemannian manifolds”, Sbornik: Mathematics, vol. 194, 2003, pp. 969-978.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609600
    S. Cerrai and M. Röckner, “Large deviations for invariant measures of general stochastic reaction-diffusion systems”, Comptes Rendus Mathematique, vol. 337, 2003, pp. 597-602.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612172
    M. Röckner and T.S. Zhang, “Lower order perturbations of Dirichlet processes”, Forum Mathematicum, vol. 15, 2003, pp. 285-297.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610471
    M. Röckner and F.-Y. Wang, “Harnack and functional inequalities for generalized Mehler semigroups”, Journal of Functional Analysis, vol. 203, 2003, pp. 237-261.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611843
    S. Albeverio, et al., “Quantum stabilization in anharmonic crystals”, PHYSICAL REVIEW LETTERS, vol. 90, 2003, : 170603.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612204
    Y. Kondratiev, E. Lytvynov, and M. Röckner, “The heat semigroup on configuration spaces”, PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, vol. 39, 2003, pp. 1-48.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611030
    M. Grothaus, et al., “Scaling limit of stochastic dynamics in classical continuous systems”, ANNALS OF PROBABILITY, vol. 31, 2003, pp. 1494-1532.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609941
    S. Albeverio, et al., “Small mass implies uniqueness of Gibbs states of a quantum crystal”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 241, 2003, pp. 69-90.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613244
    V.I. Bogachev, M. Röckner, and W. Stannat, “Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions”, Sbornik: Mathematics, vol. 193, 2002, pp. 945-976.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613192
    G. Da Prato and M. Röckner, “Singular dissipative stochastic equations in Hilbert spaces”, Probability Theory and Related Fields, vol. 124, 2002, pp. 261-303.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613297
    P. Lescot and M. Röckner, “Generators of mehler-type semigroups as pseudo-differential operators”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 5, 2002, pp. 297-315.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613047
    V.I. Bogachev, O.V. Pugachev, and M. Röckner, “Surface measures and tightness of Sobolev capacities on Poisson space”, Doklady Mathematics, vol. 66, 2002, pp. 157-160.
    PUB | WoS
     
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613006
    V.I. Bogachev, O.V. Pugachev, and M. Röckner, “Surface measures and tightness of (r,p)-capacities on Poisson space”, Journal of Functional Analysis, vol. 196, 2002, pp. 61-86.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613051
    V.I. Bogachev, F.Y. Wang, and M. Röckner, “Invariant measures of stochastic gradient systems in Riemannian manifolds and Gibbs measures”, Doklady Mathematics, vol. 66, 2002, pp. 179-183.
    PUB | WoS
     
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613055
    V.I. Bogachev, G. Da Prato, and M. Röckner, “On weak parabolic equations for probability measures”, Doklady Mathematics, vol. 66, 2002, pp. 192-196.
    PUB | WoS
     
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612751
    S. Albeverio, et al., “Euclidean Gibbs states of quantum lattice systems”, REVIEWS IN MATHEMATICAL PHYSICS, vol. 14, 2002, pp. 1335-1401.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612947
    S. Albeverio, et al., “Gibbs states of a quantum crystal: uniqueness by small particle mass”, COMPTES RENDUS MATHEMATIQUE, vol. 335, 2002, pp. 693-698.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615560
    V.I. Bogachev, N.V. Krylov, and M. Röckner, “On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions”, Communications in Partial Differential Equations , vol. 26, 2001, pp. 2037-2080.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616121
    M. Röckner and F.-Y. Wang, “Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups”, Journal of Functional Analysis, vol. 185, 2001, pp. 564-603.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617681
    V. Bogachev, M. Röckner, and F.-Y. Wang, “Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 332, 2001, pp. 333-338.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617720
    V.P. Bogachev, N.V. Krylov, and M. Röckner, “Differentiability of the invariant measures and transition probabilities of singular diffusions”, Doklady Mathematics, vol. 63, 2001, pp. 18-21.
    PUB | WoS
     
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616117
    F. Gong, M. Röckner, and W. Liming, “Poincaré inequality for weighted first order Sobolev spaces on loop spaces”, Journal of Functional Analysis, vol. 185, 2001, pp. 527-563.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617754
    V.I. Bogachev, M. Röckner, and F.-Y. Wang, “Elliptic equations for invariant measures on finite and infinite dimensional manifolds”, Journal de Mathématiques Pures et Appliquées, vol. 80, 2001, pp. 177-221.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616748
    V.I. Bogachev, F.Y. Wang, and M. Röckner, “Elliptic equations associated with invariant measures of diffusions on finite- and infinite-dimensional manifolds”, Doklady Mathematics , vol. 63, 2001, pp. 351-354.
    PUB | WoS
     
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616354
    V.I. Bogachev and M. Röckner, “Elliptic equations for measures on infinite dimensional spaces and applications”, Probability Theory and Related Fields, vol. 120, 2001, pp. 445-496.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484
    D.L. Finkelshtein, et al., “Gauss formula and symmetric extensions of the Laplacian on configuration spaces”, INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol. 4, 2001, pp. 489-509.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616247
    S. Albeverio, et al., “Stochastic dynamics of fluctuations in classical continuous systems”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 185, 2001, pp. 129-154.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617829
    J. da Silva, Y. Kondratiev, and M. Röckner, “On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems”, MATHEMATISCHE NACHRICHTEN, vol. 222, 2001, pp. 141-157.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615500
    S. Albeverio, et al., “Gibbs states on loop lattices: existence and a priori estimates”, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 333, 2001, pp. 1005-1009.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617918
    S. Albeverio, et al., “Uniqueness for Gibbs measures of quantum lattices in small mass regime”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, vol. 37, 2001, pp. 43-69.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616433
    V. Bogachev and M. Röckner, “A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts”, Theory of Probability & Its Applications, vol. 45, 2000, pp. 363-378.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619467
    J. Ren and M. Röckner, “Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications”, Probability Theory and Related Fields, vol. 117, 2000, pp. 201-220.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621240
    V. Bogachev, M. Röckner, and T.S. Zhang, “Existence and uniqueness of invariant measures: An approach via sectorial forms”, Applied Mathematics and Optimization, vol. 41, 2000, pp. 87-109.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620587
    M. Fuhrman and M. Röckner, “Generalized Mehler semigroups: The non-Gaussian case”, Potential Analysis, vol. 12, 2000, pp. 1-47.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619161
    Z.-M. Ma and M. Röckner, “Construction of diffusions on configuration spaces”, Osaka Journal of Mathematics, vol. 37, 2000, pp. 273-314.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617639
    Z.-M. Ma, M. Röckner, and W. Sun, “Approximation of Hunt processes by multivariate Poisson processes”, Acta Applicandae Mathematica, vol. 63, 2000, pp. 233-243.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617634
    S. Albeverio, et al., “Stochastic dynamics of compact spins: Ergodicity and irreducibility”, ACTA APPLICANDAE MATHEMATICAE, vol. 63, 2000, pp. 27-40.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620414
    S. Albeverio, et al., “A priori estimates for symmetrizing measures and their applications to Gibbs states”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 171, 2000, pp. 366-400.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659
    V. Liskevich, Z. Sobol, and M. Röckner, “Dirichlet operators with variable coefficients in L-p-spaces of functions of infinitely many variables coefficients”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 2, 1999, pp. 487-502.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621467
    V. Bogachev and M. Röckner, “Elliptic equations for infinite dimensional probability distributions and Lyapunov functions”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 329, 1999, pp. 705-710.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623139
    V. Bogachev, P. Lescot, and M. Röckner, “The martingale problem for pseudo-differential operators on infinite-dimensional spaces”, Nagoya Mathematical Journal, vol. 153, 1999, pp. 101-118.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620925
    M. Röckner and A. Schied, “Rademacher's theorem on configuration spaces and applications”, Journal of Functional Analysis, vol. 169, 1999, pp. 325-356.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621097
    M. Röckner and T.S. Zhang, “Probabilistic representations and hyperbound estimates for semigroups”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 2, 1999, pp. 337-358.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622169
    S. Albeverio, et al., “Stochastic quantization of the two-dimensional polymer measure”, Applied Mathematics and Optimization, vol. 40, 1999, pp. 341-354.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623685
    S. Albeverio, V. Bogachev, and M. Röckner, “On uniqueness of invariant measures for finite- and infinite-dimensional diffusions”, Communications on Pure and Applied Mathematics , vol. 52, 1999, pp. 325-362.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623534
    S. Albeverio, Y. Kondratiev, and M. Röckner, “Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory”, REVIEWS IN MATHEMATICAL PHYSICS, vol. 11, 1999, pp. 1-23.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622749
    S. Albeverio, et al., “A-priori estimates and existence of Gibbs measures: a simplified proof”, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 328, 1999, pp. 1049-1054.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622857
    Y. Kondratiev, et al., “Scattering problem for local perturbations of the free quantum gas”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 203, 1999, pp. 421-444.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622370
    S. Albeverio, et al., “Fluctuations and their Glauber dynamics in lattice systems”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 166, 1999, pp. 148-167.
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625592
    Z.-M. Ma, M. Röckner, and T.-S. Zhang, “Approximation of arbitrary Dirichlet processes by Markov chains”, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol. 34, 1998, pp. 1-22.
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626293
    M. Röckner and B. Schmuland, “A support property for infinite-dimensional interacting diffusion processes”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 326, 1998, pp. 359-364.
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    1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927
    M. Röckner, “Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results”, New Directions in Dirichlet Forms, J. Jost, ed., Studies in Advances Mathematics, Providence, RI: American Mathematical Society, 1998, pp.157-231.
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916
    V.I. Liskevich and M. Röckner, “Strong Uniqueness for a Class of Intinite Dimensional Dirichlet Operators and Applications to Stochastic Quantization”, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, vol. 27, 1998, pp. 69-91.
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625042
    S. Albeverio, Y. Kondratiev, and M. Röckner, “Analysis and geometry on configuration spaces: The Gibbsian case”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 157, 1998, pp. 242-291.
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625675
    S. Albeverio, Y. Kondratiev, and M. Röckner, “Analysis and geometry on configuration spaces”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 154, 1998, pp. 444-500.
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626150
    M. Röckner and T.S. Zhang, “Convergence of operators semigroups generated by elliptic operators”, Osaka Journal of Mathematics, vol. 34, 1997, pp. 923-932.
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628151
    S. Albeverio, Z.-M. Ma, and M. Röckner, “Partitions of unity in Sobolev spaces over infinite dimensional state spaces”, Journal of Functional Analysis, vol. 143, 1997, pp. 247-268.
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627421
    S. Albeverio, Y. Kondratiev, and M. Röckner, “Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 149, 1997, pp. 415-&.
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1637772
    S. Albeverio, Y. Kondratiev, and M. Röckner, “Ergodicity of L(2)-semigroups and extremality of Gibbs states”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 144, 1997, pp. 394-423.
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626717
    S. Albeverio, et al., “Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 189, 1997, pp. 621-630.
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627885
    S. Albeverio, et al., “Uniqueness of Gibbs states for quantum lattice systems”, PROBABILITY THEORY AND RELATED FIELDS, vol. 108, 1997, pp. 193-218.
    PUB | DOI | WoS
     
  • [18]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627324
    S. Albeverio, et al., “Uniqueness of Gibbs states on loop lattices”, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 324, 1997, pp. 1401-1406.
    PUB | DOI | WoS
     
  • [17]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638991
    V.I. Bogachev, M. Röckner, and B. Schmuland, “Generalized Mehler semigroups and applications”, Probability Theory and Related Fields, vol. 105, 1996, pp. 193-225.
    PUB | WoS
     
  • [16]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
    T.J. Lyons, M. Röckner, and T.S. Zhang, “Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1]”, Stochastic Processes and their Applications, vol. 64, 1996, pp. 31-38.
    PUB | DOI | WoS
     
  • [15]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
    V.I. Bogachev, N. Krylov, and M. Röckner, “Regularity of invariant measures: The case of non-constant diffusion part”, Journal of Functional Analysis, vol. 138, 1996, pp. 223-242.
    PUB | DOI | WoS
     
  • [14]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628627
    S. Albeverio, Y. Kondratiev, and M. Röckner, “Differential geometry of Poisson spaces”, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 323, 1996, pp. 1129-1134.
    PUB | WoS
     
  • [13]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628378
    S. Albeverio, Y. Kondratiev, and M. Röckner, “Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces”, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 323, 1996, pp. 1179-1184.
    PUB | WoS
     
  • [12]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
    V.I. Bogachev and M. Röckner, “Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications”, Journal of Functional Analysis, vol. 133, 1995, pp. 168-223.
    PUB | DOI | WoS
     
  • [11]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640337
    Z.-M. Ma and M. Röckner, “Markov Processes Associated With Positivity Preserving Coercive Forms”, Canadian Journal of Mathematics = Journal Canadien de Mathématiques , vol. 47, 1995, pp. 817-840.
    PUB | DOI | WoS
     
  • [10]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
    V.I. Bogachev and M. Röckner, “Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift”, Osaka Journal of Mathematics , vol. 32, 1995, pp. 237-274.
    PUB | WoS
     
  • [9]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640061
    S. Albeverio, Y. Kondratiev, and M. Röckner, “UNIQUENESS OF THE STOCHASTIC DYNAMICS FOR CONTINUOUS-SPIN SYSTEMS ON A LATTICE”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 133, 1995, pp. 10-20.
    PUB | DOI | WoS
     
  • [8]
    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
    Z.-Q. Chen, Z.-M. Ma, and M. Röckner, “Quasi-homeomorphisms of Dirichlet forms”, Nagoya Mathematical Journal , vol. 136, 1994, pp. 1-15.
    PUB | DOI | WoS
     
  • [7]
    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
    S. Albeverio, et al., “An invariance result for capacities on Wiener space”, Journal of Functional Analysis, vol. 106, 1992, pp. 35-49.
    PUB | DOI | WoS
     
  • [6]
    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
    S. Albeverio, et al., “CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE”, Comptes Rendus de l'Academie des Sciences. Series I, Mathematics , vol. 312, 1991, pp. 931-935.
    PUB | WoS
     
  • [5]
    1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651063
    J. Potthoff and M. Röckner, “On the contraction property of energy forms on infinite-dimensional space”, Journal of Functional Analysis, vol. 92, 1990, pp. 155-165.
    PUB | DOI | WoS
     
  • [4]
    1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656492
    M. Röckner, “Specifications and Martin boundaries forP(Φ)2-random fields”, Communications in Mathematical Physics, vol. 106, 1986, pp. 105-135.
    PUB | DOI | WoS | Inspire
     
  • [3]
    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657987
    M. Röckner, “A Dirichlet problem for distributions and specifications for random fields”, Memoirs of the American Mathematical Society , vol. 54, 1985, pp. 1-76.
    PUB | DOI | WoS
     
  • [2]
    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657884
    M. Röckner, “Generalized Markov fields and Dirichlet forms”, Acta Applicandae Mathematica, vol. 3, 1985, pp. 285-311.
    PUB | DOI | WoS
     
  • [1]
    1983 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1659692
    M. Röckner, “Markov property of generalized fields and axiomatic potential theory”, Mathematische Annalen, vol. 264, 1983, pp. 153-177.
    PUB | DOI | WoS
     
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