BG
Benjamin Gess
math.PRmath.APmath.DScs.LGcs.NAmath.NAstat.MLmath.MPmath.OCmath-ph
On Valency
published · living versionsW_ez7c5nhw·v1 · currentpublished
W_8p7b89av·v1published
W_e4b4vhzk·v1published
Preprints & journals
81 papers in the corpus · 2010–2026Higher-Order Gaussian Approximations on Path Space for the Simple Symmetric Exclusion Process2610.13308v1 · Benjamin Gess, Vitalii Konarovskyi2026 · 0 citationsarXiv
Weak synchronisation for McKean--Vlasov SDEs2609.09100v1 · Benjamin Gess, Rishabh S. Gvalani, Shanshan Hu2026 · 0 citationsarXivon Valency
The Advective Fisher-Rao Geometry of Deterministic Measure Transport2608.12111v1 · Benjamin Gess, Johannes Muller2026 · 0 citationsarXiv
The Incompressible Navier--Stokes--Fourier System with Thermal Noise2603.26307v1 · Benjamin Gess, Max Sauerbrey, Zhengyan Wu2026 · 0 citationsarXiv
Large Spikes in Stochastic Gradient Descent: A Large-Deviations View2603.10079v2 · Benjamin Gess, Daniel Heydecker2026 · 0 citationsarXiv
The Porous Medium Equation: Multiscale Integrability in Large Deviations2602.09547v1 · Benjamin Gess, Daniel Heydecker2026 · 0 citationsarXiv
Ergodicity for SPDEs driven by divergence-free transport noise2601.22056v1 · Benjamin Gess, Rishabh S. Gvalani, Adrian Martini2026 · 0 citationsarXiv
Probabilistically Strong Solutions to Stochastic Euler Equations2601.22073v1 · Benjamin Gess, Robert Lasarzik2026 · 0 citationsarXiv
Matching Large Deviation Bounds of the Zero-Range Process in the whole space2507.23452v1 · Benjamin Fehrman, Benjamin Gess, Daniel Heydecker2025 · 0 citationsarXiv
Existence of martingale solutions to a stochastic kinetic model of chemotaxis2504.00450v1 · Benjamin Gess, Sebastian Herr, Anne Niesdroy2025 · 0 citationsarXiv
Conservative stochastic PDEs on the whole space2410.00254v1 · Benjamin Fehrman, Benjamin Gess2024 · 2 citationsarXiv
A quantitative central limit theorem for the simple symmetric exclusion process2408.01238v1 · Benjamin Gess, Vitalii Konarovskyi2024 · 0 citationsarXiv
Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits2406.17892v1 · Benjamin Gess, Zhengyan Wu, Rangrang Zhang2024 · 0 citationsarXiv
Low temperature expansion for the Euclidean -measure2404.14539v1 · Benjamin Gess, Kihoon Seong, Pavlos Tsatsoulis2024 · 0 citationsarXiv
SVI solutions to stochastic nonlinear diffusion equations on general measure spaces2402.01479v1 · Benjamin Gess, Michael Rockner, Weina Wu2024 · 2 citationsarXiv
Stochastic Modified Flows for Riemannian Stochastic Gradient Descent2402.03467v2 · Benjamin Gess, Sebastian Kassing, Nimit Rana2024 · 2 citationsSIAM J. Control Optim. 62(6): 3288-3314 (2024)
Optimal Regularity in Time and Space for Nonlocal Porous Medium Type Equations2311.06225v1 · Benjamin Gess, Jonas Sauer2023 · 0 citationsarXiv
Solutions to the stochastic thin-film equation for initial values with non-full support2305.06017v2 · Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann et al.2023 · 3 citationsarXiv
The Porous Medium Equation: Large Deviations and Gradient Flow with Degenerate and Unbounded Diffusion2303.11289v3 · Benjamin Gess, Daniel Heydecker2023 · 0 citationsarXiv
Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent2302.07125v1 · Benjamin Gess, Sebastian Kassing, Vitalii Konarovskyi2023 · 3 citationsarXiv
Exponential convergence rates for momentum stochastic gradient descent in the overparametrized setting2302.03550v2 · Benjamin Gess, Sebastian Kassing2023 · 2 citationsarXiv
Long-time behaviour of stochastic Hamilton-Jacobi equations2211.12099v2 · Paul Gassiat, Benjamin Gess, Pierre-Louis Lions et al.2022 · 1 citationarXiv
Lyapunov exponents and synchronisation by noise for systems of SPDEs2207.09820v1 · B. Gess, P. Tsatsoulis2022 · 2 citationsarXiv
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent2207.05705v2 · Benjamin Gess, Rishabh S. Gvalani, Vitalii Konarovskyi2022 · 7 citationsarXiv
Ergodicity and random dynamical systems for conservative SPDEs2206.14789v1 · Benjamin Fehrman, Benjamin Gess, Rishabh S. Gvalani2022 · 1 citationarXiv
Optimal regularity in time and space for stochastic porous medium equations2110.01637v2 · Stefano Bruno, Benjamin Gess, Hendrik Weber2021 · 2 citationsAnn. Probab. 50(6): 2288-2343 (November 2022)
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise2109.06083v2 · Benjamin Gess, Rishabh S. Gvalani, Florian Kunick et al.2021 · 5 citationsarXiv
Well-posedness of the Dean--Kawasaki and the nonlinear Dawson--Watanabe equation with correlated noise2108.08858v3 · Benjamin Fehrman, Benjamin Gess2021 · 22 citationsarXiv
Stochastic partial differential equations arising in self-organized criticality2104.13336v2 · Lubom'ir Banas, Benjamin Gess, Marius Neuß2021 · 5 citationsarXiv
Stabilization by transport noise and enhanced dissipation in the Kraichnan model2104.03949v3 · Benjamin Gess, Ivan Yaroslavtsev2021 · 16 citationsarXiv
Numerical approximation of singular-degenerate parabolic stochastic PDEs2012.12150v1 · Lubom'ir Banas, Benjamin Gess, Christian Vieth2020 · 1 citationarXiv
An Example of Intrinsic Randomness in Deterministic PDEs2012.04398v2 · Franco Flandoli, Benjamin Gess, Francesco Grotto2020 · 0 citationsarXiv
Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process2012.02126v2 · Nicolas Dirr, Benjamin Fehrman, Benjamin Gess2020 · 6 citationsarXiv
Porous media equations with multiplicative space-time white noise2002.12924v1 · Konstantinos Dareiotis, M'at'e Gerencs'er, Benjamin Gess2020 · 10 citationsAnn. Inst. H. Poincar\'e Probab. Statist. 57(4): 2354-2371 (2021)
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift1910.11860v3 · Benjamin Fehrman, Benjamin Gess2019 · 24 citationsarXiv
Synchronisation by noise for the stochastic quantisation equation in dimensions and 1910.07769v1 · Benjamin Gess, Pavlos Tsatsoulis2019 · 0 citationsarXiv
Random attractors for locally monotone stochastic partial differential equations1908.03539v1 · Benjamin Gess, Wei Liu, Andre Schenke2019 · 53 citationsJ. Differential Equations 269 (2020), 3414-3455
Ergodicity for Stochastic Porous Media Equations1907.04605v1 · Konstantinos Dareiotis, Benjamin Gess, Pavlos Tsatsoulis2019 · 7 citationsarXiv
The stochastic thin-film equation: existence of nonnegative martingale solutions1904.08951v2 · Benjamin Gess, Manuel V. Gnann2019 · 16 citationsStoch. Process. Appl. 130(12): 7260-7302 (2020)
Stochastic nonlinear Fokker-Planck equations1904.07894v1 · Michele Coghi, Benjamin Gess2019 · 37 citationsarXiv
Convergence rates for the stochastic gradient descent method for non-convex objective functions1904.01517v2 · Benjamin Fehrman, Benjamin Gess, Arnulf Jentzen2019 · 31 citationsJournal of Machine Learning Research 21 (2020), Paper No. 136, 48 pp
Optimal regularity in time and space for the porous medium equation1902.08632v1 · Benjamin Gess, Jonas Sauer, Eitan Tadmor2019 · 16 citationsAnalysis & PDE 13 (2020) 2441-2480
Nonlinear diffusion equations with nonlinear gradient noise1811.08356v3 · Konstantinos Dareiotis, Benjamin Gess2018 · 25 citationsElectron. J. Probab., Volume 25 (2020), paper no. 35, 43 pp
Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations1811.01725v2 · Sebastian Becker, Benjamin Gess, Arnulf Jentzen et al.2018 · 8 citationsBIT 60 (2020), no. 4, 1057-1073
Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise1807.04230v2 · Benjamin Fehrman, Benjamin Gess2018 · 4 citationsarXiv
Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians1805.08477v2 · Paul Gassiat, Benjamin Gess, Pierre-Louis Lions et al.2018 · 14 citationsarXiv
Entropy solutions for stochastic porous media equations1803.06953v2 · Konstantinos Dareiotis, Mat'e Gerencs'er, Benjamin Gess2018 · 29 citationsJournal of Differential Equations, vol. 266, no. 6 (2019), p. 3732-3763
Supremum estimates for degenerate, quasilinear stochastic partial differential equations1712.06655v4 · Konstantinos Dareiotis, Benjamin Gess2017 · 8 citationsAnn. Inst. H. Poincar\'e Probab. Statist., Volume 55, Number 3 (2019), 1765-1796
Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise1712.05775v3 · Benjamin Fehrman, Benjamin Gess2017 · 53 citationsarXiv
Density bounds for solutions to differential equations driven by Gaussian rough paths1712.02740v2 · Benjamin Gess, Cheng Ouyang, Samy Tindel2017 · 12 citationsJ Theor Probab 33 (2020) 611-648
Career total: 99 works. 81 are in this corpus.Showing the 50 most recent.
Profile built from the corpus for this byline.
Author records are still filling in while the Hub is in alpha. If this is your page, you'll be able to claim it soon. Spot a mistake? Tell us.