PUB - Publikationen an der Universität Bielefeld

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• [40]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001624

  Banas, L., Gess, B., & Neuss, M. (2025). Stochastic partial differential equations arising in self-organized criticality. Annals of Applied Probability, 35(1), 481-522. https://doi.org/10.1214/24-AAP2119

  PUB | DOI | WoS
   
• [39]
  

  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
   
• [38]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992532

  Gess, B., & Tsatsoulis, P. (2024). Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability, 52(5), 1903-1953. https://doi.org/10.1214/24-AOP1690

  PUB | DOI | WoS
   
• [37]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988224

  Fehrman, B., & Gess, B. (2024). Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis, 248(2), 20. https://doi.org/10.1007/s00205-024-01963-3

  PUB | DOI | WoS
   
• [36]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987528

  Gess, B., Kassing, S., & Konarovskyi, V. (2024). Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent. Journal of Machine Learning Research, 25, 30

  PUB | WoS
   
• [35]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986294

  Gassiat, P., Gess, B., Lions, P. - L., & Souganidis, P. E. (2024). Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations, 286(4), 110269. https://doi.org/10.1016/j.jfa.2023.110269

  PUB | DOI | WoS
   
• [34]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775

  Banas, L., Gess, B., & Vieth, C. (2023). Numerical approximation of singular-degenerate parabolic stochastic partial differential equations. IMA Journal of Numerical Analysis , drad061. https://doi.org/10.1093/imanum/drad061

  PUB | DOI | WoS
   
• [33]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2981964

  Fehrman, B., & Gess, B. (2023). Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift. Inventiones Mathematicae. https://doi.org/10.1007/s00222-023-01207-3

  PUB | DOI | WoS
   
• [32]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967869

  Bruno, S., Gess, B., & Weber, H. (2022). Optimal regularity in time and space for stochastic porous medium equations. Annals of Probability, 50(6), 2288-2343. https://doi.org/10.1214/22-AOP1583

  PUB | DOI | WoS
   
• [31]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965799

  Flandoli, F., Gess, B., & Grotto, F. (2022). An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics, 2240023. https://doi.org/10.1142/S0219493722400238

  PUB | DOI | WoS
   
• [30]
  

  2022 | Preprint | PUB-ID: 2964704

  Gess, B., Gvalani, R., & Konarovskyi, V. (2022). Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent. arXiv:2207.05705

  PUB | Download (ext.) | arXiv
   
• [29]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2963478

  Becker, S., Gess, B., Jentzen, A., & Kloeden, P. E. (2022). Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Stochastics and Partial Differential Equations : Analysis and Computations . https://doi.org/10.1007/s40072-021-00226-6

  PUB | DOI | WoS
   
• [28]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958907

  Dareiotis, K., Gerencser, M., & Gess, B. (2021). Porous media equations with multiplicative space-time white noise. Annales de l'Institut Henri Poincaré (B): Probability and Statistics, 57(4), 2354-2371. https://doi.org/10.1214/20-AIHP1139

  PUB | DOI | WoS
   
• [27]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954687

  Fehrman, B., & Gess, B. (2021). Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise. Journal de Mathématiques Pures et Appliquées, 148, 221-266. https://doi.org/10.1016/j.matpur.2021.01.004

  PUB | DOI | WoS
   
• [26]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946624

  Gess, B. (2021). Optimal regularity for the porous medium equation. Journal of the European Mathematical Society, 23(2), 425–465. https://doi.org/10.4171/JEMS/1014

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2951317

  Gess, B., Sauer, J., & Tadmor, E. (2020). Optimal regularity in time and space for the porous medium equation. Analysis & PDE , 13(8), 2441-2480. doi:10.2140/apde.2020.13.2441

  PUB | DOI | WoS
   
• [24]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948926

  Gess, B., & Gnann, M. V. (2020). The stochastic thin-film equation: Existence of nonnegative martingale solutions. Stochastic Processes and their Applications, 130(12), 7260-7302. doi:10.1016/j.spa.2020.07.013

  PUB | DOI | WoS
   
• [23]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948951

  Dareiotis, K., Gess, B., & Tsatsoulis, P. (2020). Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise . SIAM Journal on Mathematical Analysis, 52(5), 4524-4564. doi:10.1137/19M1278521

  PUB | DOI | WoS
   
• [22]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948624

  Gess, B., & Tsatsoulis, P. (2020). Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics, 20(6), 2040006. doi:10.1142/S0219493720400067

  PUB | DOI | WoS
   
• [21]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945624

  Fehrman, B., Gess, B., & Jentzen, A. (2020). Convergence Rates for the Stochastic Gradient Descent Method for Non-Convex Objective Functions. Journal of Machine Learning Research (JMLR) , 21, 1

  PUB | WoS
   
• [20]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944189

  Becker, S., Gess, B., Jentzen, A., & Kloeden, P. E. (2020). Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. BIT NUMERICAL MATHEMATICS. doi:10.1007/s10543-020-00807-2

  PUB | DOI | WoS
   
• [19]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943794

  Gess, B., Liu, W., & Schenke, A. (2020). Random attractors for locally monotone stochastic partial differential equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 269(4), 3414-3455. doi:10.1016/j.jde.2020.03.002

  PUB | DOI | WoS
   
• [18]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943573

  Gess, B., Ouyang, C., & Tindel, S. (2020). Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough Paths. JOURNAL OF THEORETICAL PROBABILITY, 33(2), 611-648. doi:10.1007/s10959-019-00967-0

  PUB | DOI | WoS
   
• [17]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942911

  Dareiotis, K., & Gess, B. (2020). Nonlinear diffusion equations with nonlinear gradient noise. ELECTRONIC JOURNAL OF PROBABILITY, 25, 35. doi:10.1214/20-EJP436

  PUB | DOI | WoS
   
• [16]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092

  Gassiat, P., Gess, B., Lions, P. - L., & Souganidis, P. E. (2020). Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. PROBABILITY THEORY AND RELATED FIELDS, 176(1-2), 421-448. doi:10.1007/s00440-019-00921-5

  PUB | DOI | WoS
   
• [15]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935579

  Fehrman, B., & Gess, B. (2019). Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 233(1), 249-322. doi:10.1007/s00205-019-01357-w

  PUB | DOI | WoS
   
• [14]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946623

  Chouk, K., & Gess, B. (2019). Path-by-path regularization by noise for scalar conservation laws. Journal of Functional Analysis, 277(5), 1469-1498. doi:10.1016/j.jfa.2019.06.005

  PUB | DOI | WoS
   
• [13]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933909

  Dareiotis, K., Gerencser, M., & Gess, B. (2019). Entropy solutions for stochastic porous media equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 266(6), 3732-3763. doi:10.1016/j.jde.2018.09.012

  PUB | DOI | WoS
   
• [12]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937862

  Dareiotis, K., & Gess, B. (2019). Supremum estimates for degenerate, quasilinear stochastic partial differential equations. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 55(3), 1765-1796. doi:10.1214/18-AIHP934

  PUB | DOI | WoS
   
• [11]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936917

  Coghi, M., & Gess, B. (2019). Stochastic nonlinear Fokker-Planck equations. Nonlinear Analysis. Theory Methods & Applications, 187, 259-278. doi:10.1016/j.na.2019.05.003

  PUB | DOI | WoS
   
• [10]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935409

  Gassiat, P., & Gess, B. (2019). Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS, 173(3-4), 1063-1098. doi:10.1007/s00440-018-0848-7

  PUB | DOI | WoS
   
• [9]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946622

  Gess, B., & Lamy, X. (2018). Regularity of solutions to scalar conservation laws with a force. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 36(2), 505-521. doi:10.1016/j.anihpc.2018.07.002

  PUB | DOI | WoS
   
• [8]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096

  Gess, B., & Hofmanová, M. (2018). Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. ANNALS OF PROBABILITY, 46(5), 2495-2544. doi:10.1214/17-AOP1231

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [7]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486

  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

  PUB | DOI | WoS
   
• [6]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901336

  Gess, B., & Tolle, J. M. (2016). Stability of solutions to stochastic partial differential equations. Journal of Differential Equations, 260(6), 4973-5025. doi:10.1016/j.jde.2015.11.039

  PUB | DOI | WoS
   
• [5]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045

  Gess, B., & Röckner, M. (2015). Singular-degenerate Multivalued Stochastic Fast Diffusion Equations. Siam Journal on Mathematical Analysis, 47(5), 4058-4090. doi:10.1137/151003726

  PUB | DOI | WoS
   
• [4]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536060

  Gess, B. (2012). Strong solutions for stochastic partial differential equations of gradient type. Journal of Functional Analysis, 263(8), 2355-2383. doi:10.1016/j.jfa.2012.07.001

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510055

  Gess, B. (2012). Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise. Comptes Rendus Mathematique, 350(5-6), 299-302. doi:10.1016/j.crma.2012.02.004

  PUB | DOI | WoS
   
• [2]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388

  Beyn, W. - J., Gess, B., Lescot, P., & Röckner, M. (2011). The Global Random Attractor for a Class of Stochastic Porous Media Equations. Communications in Partial Differential Equations, 36(3), 446-469. https://doi.org/10.1080/03605302.2010.523919

  PUB | DOI | WoS
   
• [1]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041

  Gess, B., Liu, W., & Röckner, M. (2011). Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations, 251(4-5), 1225-1253. https://doi.org/10.1016/j.jde.2011.02.013

  PUB | DOI | WoS