Finite Speed of Propagation for Stochastic Porous Media Equations. - Benjamin Gess (SIAM J. Math. Anal., 2013)

Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations. - Benjamin Gess; Michael Röckner (SIAM J. Math. Anal., 2015)

Ergodicity and Local Limits for Stochastic Local and Nonlocal p-Laplace Equations. - Benjamin Gess; Jonas M. Tölle (SIAM J. Math. Anal., 2016)

Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes. - Benjamin Gess; Benoît Perthame; Panagiotis E. Souganidis (SIAM J. Numer. Anal., 2016)

Numerical approximation of singular-degenerate parabolic stochastic PDEs. - Lubomír Bañas; Benjamin Gess; Christian Vieth (CoRR, 2020)

Convergence Rates for the Stochastic Gradient Descent Method for Non-Convex Objective Functions. - Benjamin J. Fehrman; Benjamin Gess; Arnulf Jentzen (J. Mach. Learn. Res., 2020)

Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise. - Konstantinos Dareiotis; Benjamin Gess; Pavlos Tsatsoulis (SIAM J. Math. Anal., 2020)

Stochastic partial differential equations arising in self-organized criticality. - Lubomír Bañas; Benjamin Gess; Marius Neuß (CoRR, 2021)

Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent. - Benjamin Gess; Rishabh S. Gvalani; Vitalii Konarovskyi (CoRR, 2022)

Convergence rates for momentum stochastic gradient descent with noise of machine learning type. - Benjamin Gess; Sebastian Kassing (CoRR, 2023)

Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise. - Benjamin Gess; Rishabh S. Gvalani; Florian Kunick; Felix Otto (Math. Comput., 2023)

Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent. - Benjamin Gess; Sebastian Kassing; Vitalii Konarovskyi (J. Mach. Learn. Res., 2024)

Stochastic Modified Flows for Riemannian Stochastic Gradient Descent. - Benjamin Gess; Sebastian Kassing; Nimit Rana (SIAM J. Control. Optim., 2024)