36 Publikationen

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  • [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 OA
    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
     

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