36 Publikationen

Alle markieren

  • [36]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987528
    Gess, Benjamin, Kassing, Sebastian, and Konarovskyi, Vitalii. 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, Paul, Gess, Benjamin, Lions, Pierre-Louis, and Souganidis, Panagiotis E. 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, Lubomir, Gess, Benjamin, and Vieth, Christian. 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, Benjamin, and Gess, Benjamin. 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, Stefano, Gess, Benjamin, and Weber, Hendrik. 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, Franco, Gess, Benjamin, and Grotto, Francesco. 2022. “An example of intrinsic randomness in deterministic PDES”. Stochastics and Dynamics: 2240023.
    PUB | DOI | WoS
     
  • [30]
    2022 | Preprint | PUB-ID: 2964704
    Gess, Benjamin, Gvalani, Rishabh, and Konarovskyi, Vitalii. 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, Sebastian, Gess, Benjamin, Jentzen, Arnulf, and Kloeden, Peter 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 .
    PUB | DOI | WoS
     
  • [28]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958907
    Dareiotis, K., Gerencser, M., and Gess, Benjamin. 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, Benjamin, and Gess, Benjamin. 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, Benjamin. 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, Benjamin, Sauer, Jonas, and Tadmor, Eitan. 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, Benjamin, and Gnann, Manuel V. 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, Konstantinos, Gess, Benjamin, and Tsatsoulis, Pavlos. 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, Benjamin, and Tsatsoulis, Pavlos. 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, Benjamin, Gess, Benjamin, and Jentzen, Arnulf. 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, Sebastian, Gess, Benjamin, Jentzen, Arnulf, and Kloeden, Peter E. 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, Benjamin, Liu, Wei, and Schenke, Andre. 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, Benjamin, Ouyang, Cheng, and Tindel, Samy. 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, Konstantinos, and Gess, Benjamin. 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, Paul, Gess, Benjamin, Lions, Pierre-Louis, and Souganidis, Panagiotis 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.
    PUB | DOI | WoS
     
  • [15]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935579
    Fehrman, Benjamin, and Gess, Benjamin. 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, Khalil, and Gess, Benjamin. 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., and Gess, Benjamin. 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, Konstantinos, and Gess, Benjamin. 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, Michele, and Gess, Benjamin. 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, Paul, and Gess, Benjamin. 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, Benjamin, and Lamy, Xavier. 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 OA
    Gess, Benjamin, and Hofmanová, Martina. 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, Benjamin, and Röckner, Michael. 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, Benjamin, and Tolle, Jonas M. 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, Benjamin, and Röckner, Michael. 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, Benjamin. 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, Benjamin. 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, Wolf-Jürgen, Gess, Benjamin, Lescot, Paul, and Röckner, Michael. 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, Benjamin, Liu, Wei, and Röckner, Michael. 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
     

Suche

Publikationen filtern

Darstellung / Sortierung

Export / Einbettung