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Benjamin Gess

Welcome to my MiS Profile. I am a Professor for mathematics, in particular stochastic analysis, at the Faculty of Mathematics, University of Bielefeld and a research group leader at the Max Planck Institute for Mathematics in the Sciences (MIS) in Leipzig.

My research centers around stochastic partial differential equations (SPDEs), nonlinear partial differential equations, stochastic dynamics, interacting particle systems, machine learning, fluid dynamics, with emphasis on conservative SPDEs.

Portrait of Benjamin Gess
Research Group Leader

Benjamin Gess

Research Group Leader
Email - 954 F2 04
Stochastic Partial Differential Equations MiS Profile External Website
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Publications

inJournal
2024
L'ubomír Baňas et al.

Numerical approximation of singular-degenerate parabolic stochastic partial differential equations

In: IMA journal of numerical analysis

BibTex

 DOI: 10.1093/imanum/drad061 ArXiv: 2012.12150
Preprint
2024
Benjamin J. Fehrman et al.

Conservative stochastic PDEs on the whole space

BibTex

 ArXiv: 2410.00254
inJournal
2024
Benjamin J. Fehrman et al.

Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise

In: Archive for rational mechanics and analysis

BibTex

 DOI: 10.1007/s00205-024-01963-3 ArXiv: 2108.08858
inJournal
2024
Paul Gassiat et al.

Long-time behavior of stochastic Hamilton-Jacobi equations

In: Journal of functional analysis

BibTex

 DOI: 10.1016/j.jfa.2023.110269 ArXiv: 2211.12099
Preprint
2024
Benjamin Gess et al.

A quantitative central limit theorem for the simple symmetric exclusion process

BibTex

 ArXiv: 2408.01238
Preprint
2024
Benjamin Gess et al.

Higher order fluctuation expansions for nonlinear stochastic heat equations in singular limits

BibTex

 ArXiv: 2406.17892
Preprint
2024
Benjamin Gess et al.

Low temperature expansion for the Euclidean \(\Phi^4_2\)-measure

BibTex

 ArXiv: 2404.14539
inJournal
2024
Benjamin Gess et al.

Lyapunov exponents and synchronisation by noise for systems of SPDEs

In: The annals of probability

BibTex

 DOI: 10.1214/24-AOP1690 ArXiv: 2207.09820
Preprint
2024
Benjamin Gess et al.

Stochastic modified flows for Riemannian stochastic gradient descent

BibTex

 ArXiv: 2402.03467
inJournal
2024
Benjamin Gess et al.

Stochastic modified flows, mean-field limits and dynamics of stochastic gradient descent

In: Journal of machine learning research

BibTex

 ArXiv: 2302.07125 Link: www.jmlr.org
inJournal
2024
Benjamin Gess et al.

SVI solutions to stochastic nonlinear diffusion equations on general measure spaces

In: Journal of evolution equations

BibTex

 DOI: 10.1007/s00028-024-01023-z ArXiv: 2402.01479
inJournal
2023
Sebastian Becker et al.

Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations

In: Stochastics and partial differential equations : analysis and computations

BibTex

 DOI: 10.1007/s40072-021-00226-6 ArXiv: 1711.02423
All Personal Publications
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