PUB - Publikationen an der Universität Bielefeld

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• [40]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001624

  Banas, L., Gess, B., Neuss, M.: Stochastic partial differential equations arising in self-organized criticality. Annals of Applied Probability. 35, 481-522 (2025).

  PUB | DOI | WoS
   
• [39]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175

  Gess, B., Röckner, M., Wu, W.: SVI solutions to stochastic nonlinear diffusion equations on general measure spaces. Journal of Evolution Equations. 24, : 94 (2024).

  PUB | DOI | WoS
   
• [38]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992532

  Gess, B., Tsatsoulis, P.: Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability. 52, 1903-1953 (2024).

  PUB | DOI | WoS
   
• [37]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988224

  Fehrman, B., Gess, B.: Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis. 248, : 20 (2024).

  PUB | DOI | WoS
   
• [36]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987528

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

  PUB | WoS
   
• [35]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986294

  Gassiat, P., Gess, B., Lions, P.-L., Souganidis, P.E.: Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations. 286, : 110269 (2024).

  PUB | DOI | WoS
   
• [34]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775

  Banas, L., Gess, B., Vieth, C.: Numerical approximation of singular-degenerate parabolic stochastic partial differential equations. IMA Journal of Numerical Analysis . : drad061 (2023).

  PUB | DOI | WoS
   
• [33]
  

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

  Fehrman, B., Gess, B.: Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift. Inventiones Mathematicae. (2023).

  PUB | DOI | WoS
   
• [32]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967869

  Bruno, S., Gess, B., Weber, H.: Optimal regularity in time and space for stochastic porous medium equations. Annals of Probability. 50, 2288-2343 (2022).

  PUB | DOI | WoS
   
• [31]
  

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

  Flandoli, F., Gess, B., Grotto, F.: An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics. : 2240023 (2022).

  PUB | DOI | WoS
   
• [30]
  

  2022 | Preprint | PUB-ID: 2964704

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

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

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

  Becker, S., Gess, B., Jentzen, A., Kloeden, P.E.: Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Stochastics and Partial Differential Equations : Analysis and Computations . (2022).

  PUB | DOI | WoS
   
• [28]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958907

  Dareiotis, K., Gerencser, M., Gess, B.: Porous media equations with multiplicative space-time white noise. Annales de l'Institut Henri Poincaré (B): Probability and Statistics. 57, 2354-2371 (2021).

  PUB | DOI | WoS
   
• [27]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954687

  Fehrman, B., Gess, B.: Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise. Journal de Mathématiques Pures et Appliquées. 148, 221-266 (2021).

  PUB | DOI | WoS
   
• [26]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946624

  Gess, B.: Optimal regularity for the porous medium equation. Journal of the European Mathematical Society. 23, 425–465 (2021).

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2951317

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

  PUB | DOI | WoS
   
• [24]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948926

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

  PUB | DOI | WoS
   
• [23]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948951

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

  PUB | DOI | WoS
   
• [22]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948624

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

  PUB | DOI | WoS
   
• [21]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945624

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

  PUB | WoS
   
• [20]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944189

  Becker, S., Gess, B., Jentzen, A., Kloeden, P.E.: Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. BIT NUMERICAL MATHEMATICS. (2020).

  PUB | DOI | WoS
   
• [19]
  

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

  Gess, B., Liu, W., Schenke, A.: Random attractors for locally monotone stochastic partial differential equations. JOURNAL OF DIFFERENTIAL EQUATIONS. 269, 3414-3455 (2020).

  PUB | DOI | WoS
   
• [18]
  

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

  Gess, B., Ouyang, C., Tindel, S.: Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough Paths. JOURNAL OF THEORETICAL PROBABILITY. 33, 611-648 (2020).

  PUB | DOI | WoS
   
• [17]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942911

  Dareiotis, K., Gess, B.: Nonlinear diffusion equations with nonlinear gradient noise. ELECTRONIC JOURNAL OF PROBABILITY. 25, : 35 (2020).

  PUB | DOI | WoS
   
• [16]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092

  Gassiat, P., Gess, B., Lions, P.-L., Souganidis, P.E.: Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. PROBABILITY THEORY AND RELATED FIELDS. 176, 421-448 (2020).

  PUB | DOI | WoS
   
• [15]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935579

  Fehrman, B., Gess, B.: Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. 233, 249-322 (2019).

  PUB | DOI | WoS
   
• [14]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946623

  Chouk, K., Gess, B.: Path-by-path regularization by noise for scalar conservation laws. Journal of Functional Analysis. 277, 1469-1498 (2019).

  PUB | DOI | WoS
   
• [13]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933909

  Dareiotis, K., Gerencser, M., Gess, B.: Entropy solutions for stochastic porous media equations. JOURNAL OF DIFFERENTIAL EQUATIONS. 266, 3732-3763 (2019).

  PUB | DOI | WoS
   
• [12]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937862

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

  PUB | DOI | WoS
   
• [11]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936917

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

  PUB | DOI | WoS
   
• [10]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935409

  Gassiat, P., Gess, B.: Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS. 173, 1063-1098 (2019).

  PUB | DOI | WoS
   
• [9]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946622

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

  PUB | DOI | WoS
   
• [8]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096

  Gess, B., Hofmanová, M.: Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. ANNALS OF PROBABILITY. 46, 2495-2544 (2018).

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

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486

  Gess, B., Röckner, M.: STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 369, 3017-3045 (2017).

  PUB | DOI | WoS
   
• [6]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901336

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

  PUB | DOI | WoS
   
• [5]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045

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

  PUB | DOI | WoS
   
• [4]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536060

  Gess, B.: Strong solutions for stochastic partial differential equations of gradient type. Journal of Functional Analysis. 263, 2355-2383 (2012).

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510055

  Gess, B.: Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise. Comptes Rendus Mathematique. 350, 299-302 (2012).

  PUB | DOI | WoS
   
• [2]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388

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

  PUB | DOI | WoS
   
• [1]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041

  Gess, B., Liu, W., Röckner, M.: Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations. 251, 1225-1253 (2011).

  PUB | DOI | WoS