40 Publikationen
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2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001624Stochastic partial differential equations arising in self-organized criticalityPUB | DOI | WoS
Banas, Lubomir, Stochastic partial differential equations arising in self-organized criticality. Annals of Applied Probability 35 (1). , 2025 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175SVI solutions to stochastic nonlinear diffusion equations on general measure spacesPUB | DOI | WoS
Gess, Benjamin, SVI solutions to stochastic nonlinear diffusion equations on general measure spaces. Journal of Evolution Equations 24 (4). , 2024 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992532Lyapunov exponents and synchronisation by noise for systems of SPDEsPUB | DOI | WoS
Gess, Benjamin, Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability 52 (5). , 2024 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988224Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated NoisePUB | DOI | WoS
Fehrman, 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 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987528Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient DescentPUB | WoS
Gess, Benjamin, Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent. Journal of Machine Learning Research 25 (). , 2024 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986294Long-time behavior of stochastic Hamilton-Jacobi equationsPUB | DOI | WoS
Gassiat, Paul, Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations 286 (4). , 2024 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775Numerical approximation of singular-degenerate parabolic stochastic partial differential equationsPUB | DOI | WoS
Banas, Lubomir, Numerical approximation of singular-degenerate parabolic stochastic partial differential equations. IMA Journal of Numerical Analysis (). , 2023 -
2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2981964Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular driftPUB | DOI | WoS
Fehrman, Benjamin, Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift. Inventiones Mathematicae (). , 2023 -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967869Optimal regularity in time and space for stochastic porous medium equationsPUB | DOI | WoS
Bruno, Stefano, Optimal regularity in time and space for stochastic porous medium equations. Annals of Probability 50 (6). , 2022 -
2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965799An example of intrinsic randomness in deterministic PDESPUB | DOI | WoS
Flandoli, Franco, An example of intrinsic randomness in deterministic PDES. Stochastics and Dynamics (). , 2022 -
2022 | Preprint | PUB-ID: 2964704Conservative SPDEs as fluctuating mean field limits of stochastic gradient descentPUB | Download (ext.) | arXiv
Gess, Benjamin, Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent. arXiv:2207.05705 (). , 2022 -
2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2963478Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equationsPUB | DOI | WoS
Becker, Sebastian, Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Stochastics and Partial Differential Equations : Analysis and Computations (). , 2022 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958907Porous media equations with multiplicative space-time white noisePUB | DOI | WoS
Dareiotis, K., Porous media equations with multiplicative space-time white noise. Annales de l'Institut Henri Poincaré (B): Probability and Statistics 57 (4). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954687Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noisePUB | DOI | WoS
Fehrman, Benjamin, Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise. Journal de Mathématiques Pures et Appliquées 148 (). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946624Optimal regularity for the porous medium equationPUB | DOI | WoS | arXiv
Gess, Benjamin, Optimal regularity for the porous medium equation. Journal of the European Mathematical Society 23 (2). , 2021 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2951317Optimal regularity in time and space for the porous medium equationPUB | DOI | WoS
Gess, Benjamin, Optimal regularity in time and space for the porous medium equation. Analysis & PDE 13 (8). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948926The stochastic thin-film equation: Existence of nonnegative martingale solutionsPUB | DOI | WoS
Gess, Benjamin, The stochastic thin-film equation: Existence of nonnegative martingale solutions. Stochastic Processes and their Applications 130 (12). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948951Ergodicity for Stochastic Porous Media Equations with Multiplicative NoisePUB | DOI | WoS
Dareiotis, Konstantinos, Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise . SIAM Journal on Mathematical Analysis 52 (5). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948624Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3PUB | DOI | WoS
Gess, Benjamin, Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics 20 (6). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945624Convergence Rates for the Stochastic Gradient Descent Method for Non-Convex Objective FunctionsPUB | WoS
Fehrman, Benjamin, Convergence Rates for the Stochastic Gradient Descent Method for Non-Convex Objective Functions. Journal of Machine Learning Research (JMLR) 21 (). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944189Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equationsPUB | DOI | WoS
Becker, Sebastian, Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. BIT NUMERICAL MATHEMATICS (). , 2020 -
2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943794Random attractors for locally monotone stochastic partial differential equationsPUB | DOI | WoS
Gess, Benjamin, Random attractors for locally monotone stochastic partial differential equations. JOURNAL OF DIFFERENTIAL EQUATIONS 269 (4). , 2020 -
2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943573Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough PathsPUB | DOI | WoS
Gess, Benjamin, Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough Paths. JOURNAL OF THEORETICAL PROBABILITY 33 (2). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942911Nonlinear diffusion equations with nonlinear gradient noisePUB | DOI | WoS
Dareiotis, Konstantinos, Nonlinear diffusion equations with nonlinear gradient noise. ELECTRONIC JOURNAL OF PROBABILITY 25 (). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex HamiltoniansPUB | DOI | WoS
Gassiat, Paul, Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. PROBABILITY THEORY AND RELATED FIELDS 176 (1-2). , 2020 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935579Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative NoisePUB | DOI | WoS
Fehrman, Benjamin, Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 233 (1). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946623Path-by-path regularization by noise for scalar conservation lawsPUB | DOI | WoS
Chouk, Khalil, Path-by-path regularization by noise for scalar conservation laws. Journal of Functional Analysis 277 (5). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933909Entropy solutions for stochastic porous media equationsPUB | DOI | WoS
Dareiotis, K., Entropy solutions for stochastic porous media equations. JOURNAL OF DIFFERENTIAL EQUATIONS 266 (6). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937862Supremum estimates for degenerate, quasilinear stochastic partial differential equationsPUB | DOI | WoS
Dareiotis, Konstantinos, Supremum estimates for degenerate, quasilinear stochastic partial differential equations. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 55 (3). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936917Stochastic nonlinear Fokker-Planck equationsPUB | DOI | WoS
Coghi, Michele, Stochastic nonlinear Fokker-Planck equations. Nonlinear Analysis. Theory Methods & Applications 187 (). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935409Regularization by noise for stochastic Hamilton-Jacobi equationsPUB | DOI | WoS
Gassiat, Paul, Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS 173 (3-4). , 2019 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946622Regularity of solutions to scalar conservation laws with a forcePUB | DOI | WoS
Gess, Benjamin, Regularity of solutions to scalar conservation laws with a force. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 (2). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096
Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDEPUB | PDF | DOI | Download (ext.) | WoS
Gess, Benjamin, Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. ANNALS OF PROBABILITY 46 (5). , 2018 -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONSPUB | DOI | WoS
Gess, Benjamin, STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369 (5). , 2017 -
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901336Stability of solutions to stochastic partial differential equationsPUB | DOI | WoS
Gess, Benjamin, Stability of solutions to stochastic partial differential equations. Journal of Differential Equations 260 (6). , 2016 -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045Singular-degenerate Multivalued Stochastic Fast Diffusion EquationsPUB | DOI | WoS
Gess, Benjamin, Singular-degenerate Multivalued Stochastic Fast Diffusion Equations. Siam Journal on Mathematical Analysis 47 (5). , 2015 -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536060Strong solutions for stochastic partial differential equations of gradient typePUB | DOI | WoS
Gess, Benjamin, Strong solutions for stochastic partial differential equations of gradient type. Journal of Functional Analysis 263 (8). , 2012 -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510055Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noisePUB | DOI | WoS
Gess, Benjamin, Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise. Comptes Rendus Mathematique 350 (5-6). , 2012 -
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388The Global Random Attractor for a Class of Stochastic Porous Media EquationsPUB | DOI | WoS
Beyn, Wolf-Jürgen, The Global Random Attractor for a Class of Stochastic Porous Media Equations. Communications in Partial Differential Equations 36 (3). , 2011 -
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041Random attractors for a class of stochastic partial differential equations driven by general additive noisePUB | DOI | WoS
Gess, Benjamin, Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations 251 (4-5). , 2011