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.

  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.

  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.

  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.

  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 PE (2024)
  Long-time behavior of stochastic Hamilton-Jacobi equations.
  Long-time behavior of stochastic Hamilton-Jacobi equations 286(4): 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.

  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.

  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.

  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.

  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 PE (2022)
  Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations.
  Stochastics and Partial Differential Equations : Analysis and Computations .

  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.

  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.

  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.

  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.

  PUB | DOI | WoS
   
• [24]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948926

  Gess B, Gnann MV (2020)
  The stochastic thin-film equation: Existence of nonnegative martingale solutions.
  Stochastic Processes and their Applications 130(12): 7260-7302.

  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.

  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.

  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 PE (2020)
  Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations.
  BIT NUMERICAL MATHEMATICS.

  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.

  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.

  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.

  PUB | DOI | WoS
   
• [16]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092

  Gassiat P, Gess B, Lions P-L, Souganidis PE (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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  PUB | DOI | WoS
   
• [6]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901336

  Gess B, Tolle JM (2016)
  Stability of solutions to stochastic partial differential equations.
  Journal of Differential Equations 260(6): 4973-5025.

  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.

  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.

  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.

  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.

  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.

  PUB | DOI | WoS