Michael Röckner

PEVZ-ID
10585

322 Publikationen

Alle markieren

  • [322]
    2024 | Preprint | Eingereicht | PUB-ID: 2993301
    Herr, S., Röckner, M., Spitz, M., & Zhang, D. (Submitted). The energy-critical stochastic Zakharov system
    PUB | arXiv
     
  • [321]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175
    Gess, B., Röckner, M., & Wu, W. (2024). SVI solutions to stochastic nonlinear diffusion equations on general measure spaces. Journal of Evolution Equations, 24(4), 94. https://doi.org/10.1007/s00028-024-01023-z
    PUB | DOI | WoS
     
  • [320]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993907
    Barbu, V., & Röckner, M. (2024). Markov Processes Associated with Nonlinear Fokker-Planck Equations. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. 189-195). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8_5
    PUB | DOI | WoS
     
  • [319]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993906
    Barbu, V., & Röckner, M. (2024). Time Dependent Fokker-Planck Equations. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. 123-145). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8_3
    PUB | DOI | WoS
     
  • [318]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993905
    Barbu, V., & Röckner, M. (2024). Appendix. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. 197-203). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8_6
    PUB | DOI | WoS
     
  • [317]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993902
    Barbu, V., & Röckner, M. (2024). Convergence to Equilibrium of Nonlinear Fokker-Planck Flows. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. 147-188). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8_4
    PUB | DOI | WoS
     
  • [316]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993899
    Barbu, V., & Röckner, M. (2024). Existence of Nonlinear Fokker-Planck Flows. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. 13-122). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8_2
    PUB | DOI | WoS
     
  • [315]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993901
    Barbu, V., & Röckner, M. (2024). Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Introduction. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. 1-11). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8_1
    PUB | DOI | WoS
     
  • [314]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993900
    Barbu, V., & Röckner, M. (2024). Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Preface. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. v-vi). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8
    PUB | DOI | WoS
     
  • [313]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2992558
    da Silva, J. L., Erraoui, M., & Röckner, M. (2024). Cameron-Martin type theorem for a class of non-Gaussian measures. Stochastic Analysis and Applications . https://doi.org/10.1080/07362994.2024.2389133
    PUB | DOI | WoS
     
  • [312]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992227 OA
    Goldys, B., Nendel, M., & Röckner, M. (2024). Operator semigroups in the mixed topology and the infinitesimal description of Markov processes. JOURNAL OF DIFFERENTIAL EQUATIONS, 412, 23-86. https://doi.org/10.1016/j.jde.2024.08.024
    PUB | PDF | DOI | WoS
     
  • [311]
    2024 | Diskussionspapier | Veröffentlicht | PUB-ID: 2990509 OA
    Federico, S., Ferrari, G., Riedel, F., & Röckner, M. (2024). Variational Inequalities and Smooth-Fit Principle for Singular Stochastic Control Problems in Hilbert Spaces (Center for Mathematical Economics Working Papers, 692). Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [310]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990414
    Beznea, C., Beznea, L., & Röckner, M. (2024). Nonlinear Dirichlet Forms Associated with Quasiregular Mappings. Potential Analysis. https://doi.org/10.1007/s11118-024-10145-5
    PUB | DOI | WoS
     
  • [309]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990406
    Cheng, M., Hao, Z., & Röckner, M. (2024). Strong and weak convergence for the averaging principle of DDSDE with singular drift. Bernoulli, 30(2), 1586-1610. https://doi.org/10.3150/23-BEJ1646
    PUB | DOI | WoS
     
  • [308]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988956
    Barbu, V., & Röckner, M. (2024). Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy noise. Probability Theory and Related Fields. https://doi.org/10.1007/s00440-024-01277-1
    PUB | DOI | WoS
     
  • [307]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988486
    Röckner, M., Shang, S., & Zhang, T. (2024). Well-posedness of stochastic partial differential equations with fully local monotone coefficients. Mathematische Annalen . https://doi.org/10.1007/s00208-024-02836-6
    PUB | DOI | WoS
     
  • [306]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988477
    Hao, Z., Röckner, M., & Zhang, X. (2024). Strong Convergence of Propagation of Chaos for McKean–Vlasov SDEs with Singular Interactions. SIAM Journal on Mathematical Analysis , 56(2), 2661-2713. https://doi.org/10.1137/23M1556666
    PUB | DOI | WoS
     
  • [305]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988233
    Röckner, M., Wu, W., & Xie, Y. (2024). Stochastic Generalized Porous Media Equations Over σ-finiteMeasure Spaces with Non-continuous Diffusivity Function. Potential Analysis. https://doi.org/10.1007/s11118-024-10127-7
    PUB | DOI | WoS
     
  • [304]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979256 OA
    Röckner, M., Su, Y., & Zhang, D. (2023). Multi solitary waves to stochastic nonlinear Schrodinger equations. Probability Theory and Related Fields, 186, 64. https://doi.org/10.1007/s00440-023-01201-z
    PUB | PDF | DOI | WoS
     
  • [303]
    2023 | Preprint | Angenommen | PUB-ID: 2967998
    Herr, S., Röckner, M., Spitz, M., & Zhang, D. (Accepted). The three dimensional stochastic Zakharov system. The Annals of Probability
    PUB | arXiv
     
  • [302]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987158
    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2023). Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes. Theory of Probability and its Applications, 68(3), 342-369. https://doi.org/10.1137/S0040585X97T991507
    PUB | DOI | WoS
     
  • [301]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2985875
    Li, L., & Röckner, M. (2023). On the Restriction of a Right Process Outside a Negligible Set. Potential Analysis . https://doi.org/10.1007/s11118-023-10114-4
    PUB | DOI | WoS
     
  • [300]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983730
    Röckner, M., Su, Y., & Zhang, D. (2023). Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations. Transactions of the American Mathematical Society. https://doi.org/10.1090/tran/9025
    PUB | DOI | WoS
     
  • [299]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983736
    Röckner, M., Xie, L., & Yang, L. (2023). Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients . Journal of Functional Analysis, 285(9), 110103. https://doi.org/10.1016/j.jfa.2023.110103
    PUB | DOI | WoS
     
  • [298]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982786
    Barbu, V., & Röckner, M. (2023). The Evolution to Equilibrium of Solutions to Nonlinear Fokker-Planck Equation. Indiana University Mathematics Journal , 72(1), 89-131. https://doi.org/10.1512/iumj.2023.72.9074
    PUB | DOI | WoS
     
  • [297]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982779
    Barbu, V., & Röckner, M. (2023). Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients. SIAM Journal on Mathematical Analysis, 55(1), 1-18. https://doi.org/10.1137/21M145481X
    PUB | DOI | WoS
     
  • [296]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982418
    Albeverio, S., Kawabi, H., Ihalache, S. - R., & Röckner, M. (2023). 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, 24(1), 33-69.
    PUB | WoS
     
  • [295]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2982408
    Barbu, V., Röckner, M., & Zhang, D. (2023). Recent Progress on Multi-bubble Blow-ups and Multi-solitons to (Stochastic) Focusing Nonlinear Schrodinger Equations. Vietnam Journal of Mathematics . https://doi.org/10.1007/s10013-023-00640-4
    PUB | DOI | WoS
     
  • [294]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980948
    Cheng, M., Liu, Z., & Röckner, M. (2023). Averaging principle for stochastic complex Ginzburg-Landau equations. Journal of Differential Equations, 368, 58-104. https://doi.org/10.1016/j.jde.2023.05.031
    PUB | DOI | WoS
     
  • [293]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2980277
    Beznea, L., Cimpean, I., & Röckner, M. (2023). Strong Feller semigroups and Markov processes: a counterexample. Stochastics and Partial Differential Equations : Analysis and Computations . https://doi.org/10.1007/s40072-023-00300-1
    PUB | DOI | WoS
     
  • [292]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980007
    Barbu, V., & Röckner, M. (2023). Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: The degenerate case. Journal of Functional Analysis, 285(4), 109980. https://doi.org/10.1016/j.jfa.2023.109980
    PUB | DOI | WoS
     
  • [291]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979711
    Kozitsky, Y., & Röckner, M. (2023). A Markov process for a continuum infinite particle system with attraction*. Electronic Journal of Probability , 28, 1-59. https://doi.org/10.1214/23-EJP952
    PUB | DOI | WoS
     
  • [290]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978304
    Liu, W., Röckner, M., Sun, X., & Xie, Y. (2023). Strong Averaging Principle for Slow-Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients. Applied Mathematics and Optimization , 87(3), 39. https://doi.org/10.1007/s00245-022-09956-y
    PUB | DOI | WoS
     
  • [289]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969519
    Röckner, M., & Zhao, G. (2023). SDEs with critical time dependent drifts: Weak solutions. Bernoulli , 29(1), 757-784. https://doi.org/10.3150/22-BEJ1478
    PUB | DOI | WoS
     
  • [288]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969174
    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2022). Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics, 106(2), 318-321. https://doi.org/10.1134/S1064562422050064
    PUB | DOI | WoS
     
  • [287]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967252
    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2022). Zvonkin's transform and the regularity of solutions to double divergence form elliptic equations. Communications in Partial Differential Equations . https://doi.org/10.1080/03605302.2022.2139724
    PUB | DOI | WoS
     
  • [286]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241
    Banas, L., Röckner, M., & Wilke, A. (2022). Correction to: Convergent numerical approximation of the stochastic total variation flow (vol 9, pg 437, 2021). Stochastics and Partial Differential Equations : Analysis and Computations . https://doi.org/10.1007/s40072-022-00267-5
    PUB | DOI | WoS
     
  • [285]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963459
    Ren, P., Röckner, M., & Wang, F. - Y. (2022). Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations , 322, 1-37. https://doi.org/10.1016/j.jde.2022.03.021
    PUB | DOI | WoS
     
  • [284]
    2022 | Diskussionspapier | Veröffentlicht | PUB-ID: 2962548 OA
    Goldys, B., Nendel, M., & Röckner, M. (2022). Operator Semigroups in the Mixed Topology and the Infinitesimal description of Markov Processes (Center for Mathematical Economics Working Papers, 665). Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [283]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962448
    Röckner, M., Xie, L., & Yang, L. (2022). Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations. Stochastics and Partial Differential Equations: Analysis and Computations . https://doi.org/10.1007/s40072-022-00248-8
    PUB | DOI | WoS
     
  • [282]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961636
    Barbu, V., & Röckner, M. (2022). The invariance principle for nonlinear Fokker-Planck equations. Journal of Differential Equations , 315, 200-221. https://doi.org/10.1016/j.jde.2022.01.043
    PUB | DOI | WoS
     
  • [281]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960405
    Nendel, M., & Röckner, M. (2021). 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, 59(6), 4400-4428. https://doi.org/10.1137/20M1314823
    PUB | DOI | WoS
     
  • [280]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2959755
    Barbu, V., & Röckner, M. (2021). Correction to: Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs . Stochastics and Partial Differential Equations: Analysis and Computations . https://doi.org/10.1007/s40072-021-00223-9
    PUB | DOI | WoS
     
  • [279]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955128
    Federico, S., Ferrari, G., Riedel, F., & Röckner, M. (2021). On a Class of Infinite-Dimensional Singular Stochastic Control Problems . SIAM Journal on Control and Optimization, 59(2), 1680-1704. https://doi.org/10.1137/20M136757X
    PUB | DOI | WoS
     
  • [278]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957066
    Liu, W., Röckner, M., & da Silva, J. L. (2021). Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. Journal of Functional Analysis, 281(8), 109135. https://doi.org/10.1016/j.jfa.2021.109135
    PUB | DOI | WoS
     
  • [277]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956999
    Majid, N. R., & Röckner, M. (2021). 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, 24(02), 2150011. https://doi.org/10.1142/S0219025721500119
    PUB | DOI | WoS
     
  • [276]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278
    Röckner, M., Yang, H., & Zhu, R. (2021). Conservative stochastic two-dimensional Cahn–Hilliard equation. Annals of Applied Probability, 31(3), 1336-1375. https://doi.org/10.1214/20-AAP1620
    PUB | DOI | WoS
     
  • [275]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955367
    Röckner, M., & Xie, L. (2021). Diffusion approximation for fully coupled stochastic differential equations. Annals of Probability, 49(3), 1205-1236. https://doi.org/10.1214/20-AOP1475
    PUB | DOI | WoS
     
  • [274]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955376
    Kozitsky, Y., & Röckner, M. (2021). A Markov process for an infinite interacting particle system in the continuum. Electronic Journal of Probability , 26, 1-53. https://doi.org/10.1214/21-EJP631
    PUB | DOI | WoS
     
  • [273]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954682
    Röckner, M., & Xie, L. (2021). Averaging Principle and Normal Deviations for Multiscale Stochastic Systems. Communications in Mathematical Physics, 383(3), 1889–1937. https://doi.org/10.1007/s00220-021-04069-z
    PUB | DOI | WoS
     
  • [272]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954223
    Ha, S. - Y., Jung, J., & Röckner, M. (2021). Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations, 284, 39-82. https://doi.org/10.1016/j.jde.2021.02.046
    PUB | DOI | WoS
     
  • [271]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954224
    Röckner, M., & Zhang, X. (2021). Well-posedness of distribution dependent SDEs with singular drifts. Bernoulli , 27(2), 1131-1158. https://doi.org/10.3150/20-BEJ1268
    PUB | DOI | WoS
     
  • [270]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953834
    Röckner, M., Sun, X., & Xie, Y. (2021). Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations. Annales de l'Institut Henri Poincaré (B): Probability and Statistics, 57(1), 547-576. https://doi.org/10.1214/20-AIHP1087
    PUB | DOI | WoS
     
  • [269]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2952713
    Barbu, V., & Röckner, M. (2021). Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. Journal of Functional Analysis, 280(7), 108926. https://doi.org/10.1016/j.jfa.2021.108926
    PUB | DOI | WoS
     
  • [268]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951302
    Lunardi, A., & Röckner, M. (2021). Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society . https://doi.org/10.1112/jlms.12436
    PUB | DOI | WoS
     
  • [267]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950202
    Hao, Z., Röckner, M., & Zhang, X. (2021). Euler scheme for density dependent stochastic differential equations. Journal of Differential Equations, 274, 996-1014. doi:10.1016/j.jde.2020.11.018
    PUB | DOI | WoS
     
  • [266]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942720 OA
    Banas, L., Röckner, M., & Wilke, A. (2020). Convergent numerical approximation of the stochastic total variation flow. Stochastics and Partial Differential Equations : Analysis and Computations , 9(2), 437-471. https://doi.org/10.1007/s40072-020-00169-4
    PUB | PDF | DOI | WoS
     
  • [265]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945459
    Barbu, V., & Röckner, M. (2020). From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE. Annals of Probability, 48(4), 1902-1920. https://doi.org/10.1214/19-AOP1410
    PUB | DOI | WoS
     
  • [264]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948625
    Beznea, L., Cimpean, I., & Röckner, M. (2020). A natural extension of Markov processes and applications to singular SDEs. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 56(4), 2480-2506. doi:10.1214/20-AIHP1047
    PUB | DOI | WoS
     
  • [263]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2946115
    Barbu, V., & Röckner, M. (2020). Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Stochastics and Partial Differential Equations: Analysis and Computations . doi:10.1007/s40072-020-00181-8
    PUB | DOI | WoS
     
  • [262]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946143
    Barbu, V., Röckner, M., & Zhang, D. (2020). Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces. SIAM Journal on Control and Optimization, 58(4), 2383-2410. doi:10.1137/19M1307615
    PUB | DOI | WoS
     
  • [261]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945609
    Gordina, M., Röckner, M., & Teplyaev, A. (2020). Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities. Probability Theory and Related Fields. doi:10.1007/s00440-020-00991-w
    PUB | DOI | WoS
     
  • [260]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945115
    Röckner, M., Xie, L., & Zhang, X. (2020). Superposition principle for non-local Fokker-Planck-Kolmogorov operators. PROBABILITY THEORY AND RELATED FIELDS. doi:10.1007/s00440-020-00985-8
    PUB | DOI | WoS
     
  • [259]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134
    Röckner, M., Wu, B., Zhu, R., & Zhu, X. (2020). STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 52(3), 2237-2274. doi:10.1137/18M1211076
    PUB | DOI | WoS
     
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    Da Prato, G., Flandoli, F., & Röckner, M. (2020). Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. doi:10.1007/s40072-020-00173-8
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    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2020). On the Ambrosio-Figalli-Trevisan Superposition Principle for Probability Solutions to Fokker-Planck-Kolmogorov Equations. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. doi:10.1007/s10884-020-09828-5
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    Liu, W., Röckner, M., Sun, X., & Xie, Y. (2020). Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. JOURNAL OF DIFFERENTIAL EQUATIONS, 268(6), 2910-2948. doi:10.1016/j.jde.2019.09.047
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    Nendel, M., & Röckner, M. (2019). Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems (Center for Mathematical Economics Working Papers, 618). Bielefeld: Center for Mathematical Economics.
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    Federico, S., Ferrari, G., Riedel, F., & Röckner, M. (2019). On a Class of Infinite-Dimensional Singular Stochastic Control Problems (Center for Mathematical Economics Working Papers, 614). Bielefeld: Center for Mathematical Economics.
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    Röckner, M., Zhu, R., & Zhu, X. (2019). A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 24(8), 4021-4030. doi:10.3934/dcdsb.2019048
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    Huang, X., Röckner, M., & Wang, F. - Y. (2019). Nonlinear Fokker–Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs. Discrete and Continuous Dynamical Systems, 39(6), 3017-3035. doi:10.3934/dcds.2019125
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    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2019). Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Journal of Functional Analysis, 276(12), 3681-3713. doi:10.1016/j.jfa.2019.03.014
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    Da Prato, G., Flandoli, F., & Röckner, M. (2019). Absolutely continuous solutions for continuity equations in Hilbert spaces. Journal de Mathématiques Pures et Appliquées, 128, 42-86. doi:10.1016/j.matpur.2019.06.010
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    Munteanu, I., & Röckner, M. (2019). Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions. JOURNAL OF EVOLUTION EQUATIONS. doi:10.1007/s00028-019-00551-3
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    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2019). On the Superposition Principle for Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS, 100(1), 363-366. doi:10.1134/S1064562419040136
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    Da Prato, G., Jentzen, A., & Röckner, M. (2019). A MILD ITO FORMULA FOR SPDES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 372(6), 3755-3807. doi:10.1090/tran/7165
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    Beznea, L., Cimpean, I., & Röckner, M. (2019). A new approach to the existence of invariant measures for Markovian semigroups. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 55(2), 977-1000. doi:10.1214/18-AIHP905
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    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
    Herr, S., Röckner, M., & Zhang, D. (2019). Scattering for stochastic nonlinear Schrödinger equations. Communications in Mathematical Physics, 368(2), 843–884. doi:10.1007/s00220-019-03429-0
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
    Liu, W., Röckner, M., & da Silva, J. L. (2018). Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives. SIAM Journal on Mathematical Analysis, 50(3), 2588-2607. doi:10.1137/17M1144593
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    Barbu, V., & Röckner, M. (2018). Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Journal of Differential Equations, 265(10), 4993-5030. doi:10.1016/j.jde.2018.06.026
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    Barbu, V., Röckner, M., & Zhang, D. (2018). Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. The Annals of Probability, 46(4), 1957-1999. doi:10.1214/17-AOP1217
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    Röckner, M., Wu, B., Zhu, R., & Zhu, X. (2018). Stochastic heat equations with values in a Riemannian manifold. Rendiconti Lincei - Matematica e Applicazioni, 29(1), 205-213. doi:10.4171/RLM/801
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    Barbu, V., & Röckner, M. (2018). Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations . SIAM Journal on Mathematical Analysis, 50(4), 4246-4260. doi:10.1137/17M1162780
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    Munteanu, I., & Röckner, M. (2018). Total variation flow perturbed by gradient linear multiplicative noise. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 21(1), 1850003 . doi:10.1142/S0219025718500030
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    Beznea, L., Cimpean, I., & Röckner, M. (2018). Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents. Stochastic Processes and their Applications, 128(4), 1405-1437. doi:10.1016/j.spa.2017.07.009
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    Grigoryan, A., Ouyang, S., & Röckner, M. (2018). Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 736(736), 1-31. doi:10.1515/crelle-2015-0026
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    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2018). Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS, 98(2), 452-457. doi:10.1134/S1064562418060169
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    Albeverio, S., Röckner, M., & Yoshida, M. W. (2017). Quantum Fields. In T. Hida & L. Streit (Eds.), Let Us Use White Noise (pp. 37-65). New Jersey, London: World Scientific. doi:10.1142/9789813220942_0002
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    Barbu, V., Röckner, M., & Russo, F. (2017). Doubly probabilistic representation for the stochastic porous media type equation. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53(4), 2043-2073. doi:10.1214/16-AIHP783
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    Barbu, V., & Röckner, M. (2017). Global solutions to random 3D vorticity equations for small initial data. Journal of Differential Equations, 263(9), 5395-5411. doi:10.1016/j.jde.2017.06.020
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    Barbu, V., Röckner, M., & Zhang, D. (2017). Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case. Journal of Differential Equations, 263(11), 7919-7940. doi:10.1016/j.jde.2017.08.030
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    Barbu, V., & Röckner, M. (2017). A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Stochastics and Partial Differential Equations: Analysis and Computations, 5(4), 457-471. doi:10.1007/s40072-017-0094-5
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    Röckner, M., & Russo, F. (2017). Uniqueness for a class of stochastic Fokker-Planck and porous media equations. Journal of Evolution Equations, 17(3), 1049-1062. doi:10.1007/s00028-016-0372-0
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    Gess, B., & Röckner, M. (2017). STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(5), 3017-3045. doi:10.1090/tran/6981
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    Röckner, M., Shin, J., & Trutnau, G. (2016). Non-symmetric distorted Brownian motion: Strong solutions, strong Feller property and non-explosion results. Discrete and Continuous Dynamical Systems. Series B, 21(9), 3219-3237. doi:10.3934/dcdsb.2016095
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    Da Prato, G., Flandoli, F., Röckner, M., & Veretennikov, A. Y. (2016). Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. The Annals of Probability, 44(3), 1985-2023. doi:10.1214/15-AOP1016
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    Barbu, V., & Röckner, M. (2016). Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Stochastic Processes and their Applications, 126(7), 2163-2179. doi:10.1016/j.spa.2016.01.007
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    Barbu, V., Da Prato, G., & Röckner, M. (2016). Transition Semigroup. In V. Barbu, G. Da Prato, & M. Röckner (Eds.), Lecture Notes in Mathematics: Vol. 2163. Stochastic porous media equations (pp. 167-195). Cham: Springer Int Publishing AG. doi:10.1007/978-3-319-41069-2_7
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    Marinelli, C., & Röckner, M. (2016). On the maximal inequalities of Burkholder, Davis and Gundy. Expositiones Mathematicae, 34(1), 1-26. doi:10.1016/j.exmath.2015.01.002
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    Barbu, V., Röckner, M., & Zhang, D. (2016). Stochastic nonlinear Schrödinger equations. Nonlinear Analysis: Theory, Methods & Applications, 136, 168-194. doi:10.1016/j.na.2016.02.010
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    Ouyang, S. - X., & Röckner, M. (2016). Time inhomogeneous generalized Mehler semigroups and skew convolution equations. Forum Mathematicum, 28(2), 339-376. doi:10.1515/forum-2013-0192
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    Barbu, V., Da Prato, G., & Röckner, M. (2016). Stochastic Porous Media Equations Introduction. In V. Barbu, G. Da Prato, & M. Röckner (Eds.), Lecture Notes in Mathematics: Vol. 2163. Stochastic porous media equations (pp. 1-18). Cham: Springer Int Publishing AG. doi:10.1007/978-3-319-41069-2_1
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    Jentzen, A., & Röckner, M. (2015). A Milstein Scheme for SPDEs. Foundations of Computational Mathematics, 15(2), 313-362. doi:10.1007/s10208-015-9247-y
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    Kolesnikov, A. V., & Röckner, M. (2014). On continuity equations in infinite dimensions with non-Gaussian reference measure. Journal of Functional Analysis, 266(7), 4490-4537. doi:10.1016/j.jfa.2014.01.010
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    Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2014). On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Doklady Mathematics, 90(1), 424-428. doi:10.1134/S1064562414050020
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    Röckner, M., Zhu, R., & Zhu, X. (2014). A note on stochastic semilinear equations and their associated Fokker-Planck equations. Journal of Mathematical Analysis and Applications, 415(1), 83-109. doi:10.1016/j.jmaa.2014.01.058
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    Röckner, M., & Wang, F. - Y. (2013). General extinction results for stochastic partial differential equations and applications. Journal Of The London Mathematical Society, 87(2), 545-560. doi:10.1112/jlms/jds066
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    Hinz, M., Röckner, M., & Teplyaev, A. (2013). Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Stochastic Processes And Their Applications, 123(12), 4373-4406. doi:10.1016/j.spa.2013.06.009
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    Prévôt, C., & Röckner, M. (2007). Motivation, Aims and Examples. In C. Prévôt & M. Röckner (Eds.), Lecture Notes in Mathematics: Vol. 1905. A Concise Course on Stochastic Partial Differential Equations (pp. 1-4). Berling: Springer. https://doi.org/10.1007/978-3-540-70781-3_1
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    Kondratiev, Y., Rebenko, A. L., & Röckner, M. (2004). On diffusion dynamics for continuous systems with singular superstable interaction. JOURNAL OF MATHEMATICAL PHYSICS, 45(5), 1826-1848. https://doi.org/10.1063/1.1690489
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    Röckner, M., & Zhang, T. S. (2003). Lower order perturbations of Dirichlet processes. Forum Mathematicum, 15(2), 285-297. https://doi.org/10.1515/form.2003.016
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    Albeverio, S., Kondratiev, Y., Kozitsky, Y., & Röckner, M. (2003). Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS, 90(17), 170603. https://doi.org/10.1103/PhysRevLett.90.170603
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    Kondratiev, Y., Lytvynov, E., & Röckner, M. (2003). The heat semigroup on configuration spaces. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 39(1), 1-48. https://doi.org/10.2977/prims/1145476147
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    Grothaus, M., Kondratiev, Y., Lytvynov, E., & Röckner, M. (2003). Scaling limit of stochastic dynamics in classical continuous systems. ANNALS OF PROBABILITY, 31(3), 1494-1532.
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    Albeverio, S., Kondratiev, Y., Kozitsky, Y., & Röckner, M. (2003). Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 241(1), 69-90. https://doi.org/10.1007/s00220-003-0923-4
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    Bogachev, V. I., Röckner, M., & Stannat, W. (2002). Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Sbornik: Mathematics, 193(7-8), 945-976. https://doi.org/10.1070/SM2002v193n07ABEH000665
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    Da Prato, G., & Röckner, M. (2002). Singular dissipative stochastic equations in Hilbert spaces. Probability Theory and Related Fields, 124(2), 261-303. https://doi.org/10.1007/s004400200214
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    Lescot, P., & Röckner, M. (2002). Generators of mehler-type semigroups as pseudo-differential operators. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 5(3), 297-315. https://doi.org/10.1142/S0219025702000894
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    Bogachev, V. I., Pugachev, O. V., & Röckner, M. (2002). Surface measures and tightness of Sobolev capacities on Poisson space. Doklady Mathematics, 66(2), 157-160.
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    Bogachev, V. I., Krylov, N. V., & Röckner, M. (2001). On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Communications in Partial Differential Equations , 26(11-12), 2037-2080. https://doi.org/10.1081/PDE-100107815
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    Röckner, M., & Wang, F. - Y. (2001). Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups. Journal of Functional Analysis, 185(2), 564-603. https://doi.org/10.1006/jfan.2001.3776
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    Bogachev, V., Röckner, M., & Wang, F. - Y. (2001). Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 332(4), 333-338. https://doi.org/10.1016/S0764-4442(01)01836-5
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    Bogachev, V. P., Krylov, N. V., & Röckner, M. (2001). Differentiability of the invariant measures and transition probabilities of singular diffusions. Doklady Mathematics, 63(1), 18-21.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616117
    Gong, F., Röckner, M., & Liming, W. (2001). Poincaré inequality for weighted first order Sobolev spaces on loop spaces. Journal of Functional Analysis, 185(2), 527-563. https://doi.org/10.1006/jfan.2001.3775
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    Bogachev, V. I., Röckner, M., & Wang, F. - Y. (2001). Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Journal de Mathématiques Pures et Appliquées, 80(2), 177-221. https://doi.org/10.1016/S0021-7824(00)01187-9
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616748
    Bogachev, V. I., Wang, F. Y., & Röckner, M. (2001). Elliptic equations associated with invariant measures of diffusions on finite- and infinite-dimensional manifolds. Doklady Mathematics , 63(3), 351-354.
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    Bogachev, V. I., & Röckner, M. (2001). Elliptic equations for measures on infinite dimensional spaces and applications. Probability Theory and Related Fields, 120(4), 445-496. https://doi.org/10.1007/PL00008789
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484
    Finkelshtein, D. L., Kondratiev, Y., Röckner, M., & Konstantinov, A. Y. (2001). Gauss formula and symmetric extensions of the Laplacian on configuration spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 4(4), 489-509. https://doi.org/10.1142/S0219025701000656
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616247
    Albeverio, S., Grothaus, M., Kondratiev, Y., & Röckner, M. (2001). Stochastic dynamics of fluctuations in classical continuous systems. JOURNAL OF FUNCTIONAL ANALYSIS, 185(1), 129-154. https://doi.org/10.1006/jfan.2001.3747
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617829
    da Silva, J., Kondratiev, Y., & Röckner, M. (2001). On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems. MATHEMATISCHE NACHRICHTEN, 222, 141-157. https://doi.org/10.1002/1522-2616(200102)222:1<141::AID-MANA141>3.0.CO;2-M
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615500
    Albeverio, S., Kondratiev, Y., Pasurek, T., & Röckner, M. (2001). Gibbs states on loop lattices: existence and a priori estimates. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 333(11), 1005-1009. https://doi.org/10.1016/S0764-4442(01)02175-9
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617918
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., & Röckner, M. (2001). Uniqueness for Gibbs measures of quantum lattices in small mass regime. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 37(1), 43-69. https://doi.org/10.1016/S0246-0203(00)01057-8
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616433
    Bogachev, V., & Röckner, M. (2000). A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts. Theory of Probability & Its Applications, 45(3), 363-378. https://doi.org/10.1137/S0040585X97978348
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619467
    Ren, J., & Röckner, M. (2000). Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications. Probability Theory and Related Fields, 117(2), 201-220. https://doi.org/10.1007/s004400050004
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621240
    Bogachev, V., Röckner, M., & Zhang, T. S. (2000). Existence and uniqueness of invariant measures: An approach via sectorial forms. Applied Mathematics and Optimization, 41(1), 87-109. https://doi.org/10.1007/s002459911005
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620587
    Fuhrman, M., & Röckner, M. (2000). Generalized Mehler semigroups: The non-Gaussian case. Potential Analysis, 12(1), 1-47. https://doi.org/10.1023/A:1008644017078
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619161
    Ma, Z. - M., & Röckner, M. (2000). Construction of diffusions on configuration spaces. Osaka Journal of Mathematics, 37(2), 273-314.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617639
    Ma, Z. - M., Röckner, M., & Sun, W. (2000). Approximation of Hunt processes by multivariate Poisson processes. Acta Applicandae Mathematica, 63(1-3), 233-243. https://doi.org/10.1023/A:1010722309200
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617634
    Albeverio, S., Daletskii, A., Kondratiev, Y., & Röckner, M. (2000). Stochastic dynamics of compact spins: Ergodicity and irreducibility. ACTA APPLICANDAE MATHEMATICAE, 63(1-3), 27-40. https://doi.org/10.1023/A:1010736106899
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620414
    Albeverio, S., Kondratiev, Y., Röckner, M., & Tsikalenko, T. V. (2000). A priori estimates for symmetrizing measures and their applications to Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS, 171(2), 366-400. https://doi.org/10.1006/jfan.1999.3482
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659
    Liskevich, V., Sobol, Z., & Röckner, M. (1999). Dirichlet operators with variable coefficients in L-p-spaces of functions of infinitely many variables coefficients. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2(4), 487-502. https://doi.org/10.1142/S021902579900028X
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621467
    Bogachev, V., & Röckner, M. (1999). Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 329(8), 705-710. https://doi.org/10.1016/S0764-4442(00)88221-X
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623139
    Bogachev, V., Lescot, P., & Röckner, M. (1999). The martingale problem for pseudo-differential operators on infinite-dimensional spaces. Nagoya Mathematical Journal, 153, 101-118. https://doi.org/10.1017/S0027763000006917
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620925
    Röckner, M., & Schied, A. (1999). Rademacher's theorem on configuration spaces and applications. Journal of Functional Analysis, 169(2), 325-356. https://doi.org/10.1006/jfan.1999.3474
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621097
    Röckner, M., & Zhang, T. S. (1999). Probabilistic representations and hyperbound estimates for semigroups. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2(3), 337-358. https://doi.org/10.1142/S0219025799000205
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622169
    Albeverio, S., Hu, Y. Z., Röckner, M., & Zhou, X. Y. (1999). Stochastic quantization of the two-dimensional polymer measure. Applied Mathematics and Optimization, 40(3), 341-354. https://doi.org/10.1007/s002459900129
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623685
    Albeverio, S., Bogachev, V., & Röckner, M. (1999). On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Communications on Pure and Applied Mathematics , 52(3), 325-362. https://doi.org/10.1002/(SICI)1097-0312(199903)52:3<325::AID-CPA2>3.0.CO;2-V
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623534
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1999). Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS, 11(1), 1-23.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622749
    Albeverio, S., Kondratiev, Y., Röckner, M., & Tsikalenko, T. V. (1999). A-priori estimates and existence of Gibbs measures: a simplified proof. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 328(11), 1049-1054. https://doi.org/10.1016/S0764-4442(99)80323-1
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622857
    Kondratiev, Y., Konstantinov, A. Y., Röckner, M., & Shchepan'uk, G. V. (1999). Scattering problem for local perturbations of the free quantum gas. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 203(2), 421-444. https://doi.org/10.1007/s002200050619
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622370
    Albeverio, S., Daletskii, A., Kondratiev, Y., & Röckner, M. (1999). Fluctuations and their Glauber dynamics in lattice systems. JOURNAL OF FUNCTIONAL ANALYSIS, 166(1), 148-167. https://doi.org/10.1006/jfan.1999.3415
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625592
    Ma, Z. - M., Röckner, M., & Zhang, T. - S. (1998). Approximation of arbitrary Dirichlet processes by Markov chains. Annales de l'Institut Henri Poincare (B) Probability and Statistics, 34(1), 1-22. https://doi.org/10.1016/S0246-0203(98)80011-3
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626293
    Röckner, M., & Schmuland, B. (1998). A support property for infinite-dimensional interacting diffusion processes. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 326(3), 359-364. https://doi.org/10.1016/S0764-4442(97)82995-3
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    1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927
    Röckner, M. (1998). Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results. In J. Jost (Ed.), Studies in Advances Mathematics. New Directions in Dirichlet Forms (pp. 157-231). Providence, RI: American Mathematical Society.
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916
    Liskevich, V. I., & Röckner, M. (1998). 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, 27(1), 69-91.
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625042
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1998). Analysis and geometry on configuration spaces: The Gibbsian case. JOURNAL OF FUNCTIONAL ANALYSIS, 157(1), 242-291. https://doi.org/10.1006/jfan.1997.3215
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625675
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1998). Analysis and geometry on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS, 154(2), 444-500. https://doi.org/10.1006/jfan.1997.3183
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626150
    Röckner, M., & Zhang, T. S. (1997). Convergence of operators semigroups generated by elliptic operators. Osaka Journal of Mathematics, 34(4), 923-932.
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628151
    Albeverio, S., Ma, Z. - M., & Röckner, M. (1997). Partitions of unity in Sobolev spaces over infinite dimensional state spaces. Journal of Functional Analysis, 143(1), 247-268. https://doi.org/10.1006/jfan.1996.2968
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1637772
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1997). Ergodicity of L(2)-semigroups and extremality of Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS, 144(2), 394-423. https://doi.org/10.1006/jfan.1996.3006
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627421
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1997). Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS, 149(2), 415-&. https://doi.org/10.1006/jfan.1997.3099
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626717
    Albeverio, S., Kondratiev, Y., Röckner, M., & Tsikalenko, T. V. (1997). Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 189(2), 621-630. https://doi.org/10.1007/s002200050220
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627885
    Albeverio, S., Kondratiev, Y., Röckner, M., & Tsikalenko, T. V. (1997). Uniqueness of Gibbs states for quantum lattice systems. PROBABILITY THEORY AND RELATED FIELDS, 108(2), 193-218. https://doi.org/10.1007/s004400050107
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627324
    Albeverio, S., Kondratiev, Y., Röckner, M., & Tsikalenko, T. V. (1997). Uniqueness of Gibbs states on loop lattices. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 324(12), 1401-1406. https://doi.org/10.1016/S0764-4442(97)83583-5
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638991
    Bogachev, V. I., Röckner, M., & Schmuland, B. (1996). Generalized Mehler semigroups and applications. Probability Theory and Related Fields, 105(2), 193-225.
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
    Lyons, T. J., Röckner, M., & Zhang, T. S. (1996). Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1]. Stochastic Processes and their Applications, 64(1), 31-38. https://doi.org/10.1016/S0304-4149(96)00078-6
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
    Bogachev, V. I., Krylov, N., & Röckner, M. (1996). Regularity of invariant measures: The case of non-constant diffusion part. Journal of Functional Analysis, 138(1), 223-242. https://doi.org/10.1006/jfan.1996.0063
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628627
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1996). Differential geometry of Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 323(10), 1129-1134.
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628378
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1996). Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 323(11), 1179-1184.
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    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
    Bogachev, V. I., & Röckner, M. (1995). Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications. Journal of Functional Analysis, 133(1), 168-223. https://doi.org/10.1006/jfan.1995.1123
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    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640337
    Ma, Z. - M., & Röckner, M. (1995). Markov Processes Associated With Positivity Preserving Coercive Forms. Canadian Journal of Mathematics = Journal Canadien de Mathématiques , 47(4), 817-840. https://doi.org/10.4153/CJM-1995-042-6
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    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
    Bogachev, V. I., & Röckner, M. (1995). Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift. Osaka Journal of Mathematics , 32(2), 237-274.
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    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640061
    Albeverio, S., Kondratiev, Y., & Röckner, M. (1995). UNIQUENESS OF THE STOCHASTIC DYNAMICS FOR CONTINUOUS-SPIN SYSTEMS ON A LATTICE. JOURNAL OF FUNCTIONAL ANALYSIS, 133(1), 10-20. https://doi.org/10.1006/jfan.1995.1115
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    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
    Chen, Z. - Q., Ma, Z. - M., & Röckner, M. (1994). Quasi-homeomorphisms of Dirichlet forms. Nagoya Mathematical Journal , 136, 1-15. https://doi.org/10.1017/S0027763000024934
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    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
    Albeverio, S., FUKUSHIMA, M., Hansen, W., MA, Z. M., & Röckner, M. (1992). An invariance result for capacities on Wiener space. Journal of Functional Analysis, 106(1), 35-49. https://doi.org/10.1016/0022-1236(92)90061-M
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    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
    Albeverio, S., FUKUSHIMA, M., Hansen, W., MA, Z. M., & Röckner, M. (1991). CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE. Comptes Rendus de l'Academie des Sciences. Series I, Mathematics , 312(12), 931-935.
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    1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651063
    Potthoff, J., & Röckner, M. (1990). On the contraction property of energy forms on infinite-dimensional space. Journal of Functional Analysis, 92(1), 155-165. https://doi.org/10.1016/0022-1236(90)90072-S
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    1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656492
    Röckner, M. (1986). Specifications and Martin boundaries forP(Φ)2-random fields. Communications in Mathematical Physics, 106(1), 105-135. https://doi.org/10.1007/BF01210928
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    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657987
    Röckner, M. (1985). A Dirichlet problem for distributions and specifications for random fields. Memoirs of the American Mathematical Society , 54(324), 1-76. https://doi.org/10.1090/memo/0324
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    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657884
    Röckner, M. (1985). Generalized Markov fields and Dirichlet forms. Acta Applicandae Mathematica, 3(3), 285-311. https://doi.org/10.1007/BF00047332
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    1983 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1659692
    Röckner, M. (1983). Markov property of generalized fields and axiomatic potential theory. Mathematische Annalen, 264(2), 153-177. https://doi.org/10.1007/BF01457522
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