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• [40]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001624

  Banas, Lubomir, Gess, Benjamin, and Neuss, Marius. “Stochastic partial differential equations arising in self-organized criticality”. Annals of Applied Probability 35.1 (2025): 481-522.

  PUB | DOI | WoS
   
• [39]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175

  Gess, Benjamin, Röckner, Michael, and Wu, Weina. “SVI solutions to stochastic nonlinear diffusion equations on general measure spaces”. Journal of Evolution Equations 24.4 (2024): 94.

  PUB | DOI | WoS
   
• [38]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992532

  Gess, Benjamin, and Tsatsoulis, Pavlos. “Lyapunov exponents and synchronisation by noise for systems of SPDEs”. Annals of Probability 52.5 (2024): 1903-1953.

  PUB | DOI | WoS
   
• [37]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988224

  Fehrman, Benjamin, and Gess, Benjamin. “Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise”. Archive for Rational Mechanics and Analysis 248.2 (2024): 20.

  PUB | DOI | WoS
   
• [36]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987528

  Gess, Benjamin, Kassing, Sebastian, and Konarovskyi, Vitalii. “Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent”. Journal of Machine Learning Research 25 (2024): 30.

  PUB | WoS
   
• [35]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986294

  Gassiat, Paul, Gess, Benjamin, Lions, Pierre-Louis, and Souganidis, Panagiotis E. “Long-time behavior of stochastic Hamilton-Jacobi equations”. Long-time behavior of stochastic Hamilton-Jacobi equations 286.4 (2024): 110269.

  PUB | DOI | WoS
   
• [34]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775

  Banas, Lubomir, Gess, Benjamin, and Vieth, Christian. “Numerical approximation of singular-degenerate parabolic stochastic partial differential equations”. IMA Journal of Numerical Analysis (2023): drad061.

  PUB | DOI | WoS
   
• [33]
  

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

  Fehrman, Benjamin, and Gess, Benjamin. “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, Stefano, Gess, Benjamin, and Weber, Hendrik. “Optimal regularity in time and space for stochastic porous medium equations”. Annals of Probability 50.6 (2022): 2288-2343.

  PUB | DOI | WoS
   
• [31]
  

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

  Flandoli, Franco, Gess, Benjamin, and Grotto, Francesco. “An example of intrinsic randomness in deterministic PDES”. Stochastics and Dynamics (2022): 2240023.

  PUB | DOI | WoS
   
• [30]
  

  2022 | Preprint | PUB-ID: 2964704

  Gess, Benjamin, Gvalani, Rishabh, and Konarovskyi, Vitalii. “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, Sebastian, Gess, Benjamin, Jentzen, Arnulf, and Kloeden, Peter 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., and Gess, Benjamin. “Porous media equations with multiplicative space-time white noise”. Annales de l'Institut Henri Poincaré (B): Probability and Statistics 57.4 (2021): 2354-2371.

  PUB | DOI | WoS
   
• [27]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954687

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

  PUB | DOI | WoS
   
• [26]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946624

  Gess, Benjamin. “Optimal regularity for the porous medium equation”. Journal of the European Mathematical Society 23.2 (2021): 425–465.

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2951317

  Gess, Benjamin, Sauer, Jonas, and Tadmor, Eitan. “Optimal regularity in time and space for the porous medium equation”. Analysis & PDE 13.8 (2020): 2441-2480.

  PUB | DOI | WoS
   
• [24]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948926

  Gess, Benjamin, and Gnann, Manuel V. “The stochastic thin-film equation: Existence of nonnegative martingale solutions”. Stochastic Processes and their Applications 130.12 (2020): 7260-7302.

  PUB | DOI | WoS
   
• [23]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948951

  Dareiotis, Konstantinos, Gess, Benjamin, and Tsatsoulis, Pavlos. “Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise ”. SIAM Journal on Mathematical Analysis 52.5 (2020): 4524-4564.

  PUB | DOI | WoS
   
• [22]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948624

  Gess, Benjamin, and Tsatsoulis, Pavlos. “Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3”. Stochastics and Dynamics 20.6 (2020): 2040006.

  PUB | DOI | WoS
   
• [21]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945624

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

  PUB | WoS
   
• [20]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944189

  Becker, Sebastian, Gess, Benjamin, Jentzen, Arnulf, and Kloeden, Peter 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, Benjamin, Liu, Wei, and Schenke, Andre. “Random attractors for locally monotone stochastic partial differential equations”. JOURNAL OF DIFFERENTIAL EQUATIONS 269.4 (2020): 3414-3455.

  PUB | DOI | WoS
   
• [18]
  

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

  Gess, Benjamin, Ouyang, Cheng, and Tindel, Samy. “Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough Paths”. JOURNAL OF THEORETICAL PROBABILITY 33.2 (2020): 611-648.

  PUB | DOI | WoS
   
• [17]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942911

  Dareiotis, Konstantinos, and Gess, Benjamin. “Nonlinear diffusion equations with nonlinear gradient noise”. ELECTRONIC JOURNAL OF PROBABILITY 25 (2020): 35.

  PUB | DOI | WoS
   
• [16]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092

  Gassiat, Paul, Gess, Benjamin, Lions, Pierre-Louis, and Souganidis, Panagiotis E. “Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians”. PROBABILITY THEORY AND RELATED FIELDS 176.1-2 (2020): 421-448.

  PUB | DOI | WoS
   
• [15]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935579

  Fehrman, Benjamin, and Gess, Benjamin. “Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise”. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 233.1 (2019): 249-322.

  PUB | DOI | WoS
   
• [14]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946623

  Chouk, Khalil, and Gess, Benjamin. “Path-by-path regularization by noise for scalar conservation laws”. Journal of Functional Analysis 277.5 (2019): 1469-1498.

  PUB | DOI | WoS
   
• [13]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933909

  Dareiotis, K., Gerencser, M., and Gess, Benjamin. “Entropy solutions for stochastic porous media equations”. JOURNAL OF DIFFERENTIAL EQUATIONS 266.6 (2019): 3732-3763.

  PUB | DOI | WoS
   
• [12]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937862

  Dareiotis, Konstantinos, and Gess, Benjamin. “Supremum estimates for degenerate, quasilinear stochastic partial differential equations”. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 55.3 (2019): 1765-1796.

  PUB | DOI | WoS
   
• [11]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936917

  Coghi, Michele, and Gess, Benjamin. “Stochastic nonlinear Fokker-Planck equations”. Nonlinear Analysis. Theory Methods & Applications 187 (2019): 259-278.

  PUB | DOI | WoS
   
• [10]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935409

  Gassiat, Paul, and Gess, Benjamin. “Regularization by noise for stochastic Hamilton-Jacobi equations”. PROBABILITY THEORY AND RELATED FIELDS 173.3-4 (2019): 1063-1098.

  PUB | DOI | WoS
   
• [9]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946622

  Gess, Benjamin, and Lamy, Xavier. “Regularity of solutions to scalar conservation laws with a force”. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36.2 (2018): 505-521.

  PUB | DOI | WoS
   
• [8]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096

  Gess, Benjamin, and Hofmanová, Martina. “Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE”. ANNALS OF PROBABILITY 46.5 (2018): 2495-2544.

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

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486

  Gess, Benjamin, and Röckner, Michael. “STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS”. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369.5 (2017): 3017-3045.

  PUB | DOI | WoS
   
• [6]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901336

  Gess, Benjamin, and Tolle, Jonas M. “Stability of solutions to stochastic partial differential equations”. Journal of Differential Equations 260.6 (2016): 4973-5025.

  PUB | DOI | WoS
   
• [5]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045

  Gess, Benjamin, and Röckner, Michael. “Singular-degenerate Multivalued Stochastic Fast Diffusion Equations”. Siam Journal on Mathematical Analysis 47.5 (2015): 4058-4090.

  PUB | DOI | WoS
   
• [4]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536060

  Gess, Benjamin. “Strong solutions for stochastic partial differential equations of gradient type”. Journal of Functional Analysis 263.8 (2012): 2355-2383.

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510055

  Gess, Benjamin. “Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise”. Comptes Rendus Mathematique 350.5-6 (2012): 299-302.

  PUB | DOI | WoS
   
• [2]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388

  Beyn, Wolf-Jürgen, Gess, Benjamin, Lescot, Paul, and Röckner, Michael. “The Global Random Attractor for a Class of Stochastic Porous Media Equations”. Communications in Partial Differential Equations 36.3 (2011): 446-469.

  PUB | DOI | WoS
   
• [1]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041

  Gess, Benjamin, Liu, Wei, and Röckner, Michael. “Random attractors for a class of stochastic partial differential equations driven by general additive noise”. Journal of Differential Equations 251.4-5 (2011): 1225-1253.

  PUB | DOI | WoS