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Benjamin Gess - Publications

Explore the scholarly works of Benjamin Gess. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover the latest research through preprints.

inJournal
2024 Repository Open Access
Benjamin J. Fehrman and Benjamin Gess

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

In: Archive for rational mechanics and analysis, 248 (2024) 2, p. 20

BibTex

 DOI: 10.1007/s00205-024-01963-3 ArXiv: 2108.08858
inJournal
2024 Repository Open Access
Paul Gassiat, Benjamin Gess, Pierre-Louis Lions and Panagiotis E. Souganidis

Long-time behavior of stochastic Hamilton-Jacobi equations

In: Journal of functional analysis, 286 (2024) 4, p. 110269

BibTex

 DOI: 10.1016/j.jfa.2023.110269 ArXiv: 2211.12099
Preprint
2024 Repository Open Access
Benjamin Gess, Sebastian Kassing and Nimit Rana

Stochastic modified flows for Riemannian stochastic gradient descent

BibTex

 ArXiv: 2402.03467
inJournal
2024 Journal Open Access
Benjamin Gess, Sebastian Kassing and Vitalii Konarovskyi

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

In: Journal of machine learning research, 25 (2024) 30, pp. 1-27

BibTex

 ArXiv: 2302.07125 Link: www.jmlr.org
Preprint
2024 Repository Open Access
Benjamin Gess, Michael Röckner and Weina Wu

SVI solutions to stochastic nonlinear diffusion equations on general measure spaces

BibTex

 ArXiv: 2402.01479
inJournal
2023 Repository Open Access
L'ubomír Baňas, Benjamin Gess and Christian Vieth

Numerical approximation of singular-degenerate parabolic stochastic partial differential equations

In: IMA journal of numerical analysis, (2023)

BibTex

 DOI: 10.1093/imanum/drad061 ArXiv: 2012.12150
inJournal
2023 Journal Open Access
Sebastian Becker, Benjamin Gess, Arnulf Jentzen and Peter E. Kloeden

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

In: Stochastics and partial differential equations : analysis and computations, 11 (2023) 1, pp. 211-268

BibTex

 DOI: 10.1007/s40072-021-00226-6 ArXiv: 1711.02423
Preprint
2023 Repository Open Access
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann and Max Sauerbrey

Solutions to the stochastic thin-film equation for initial values with non-full support

BibTex

 ArXiv: 2305.06017
inJournal
2023 Journal Open Access
Benjamin J. Fehrman and Benjamin Gess

Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift

In: Inventiones mathematicae, 234 (2023) 2, pp. 573-636

BibTex

 DOI: 10.1007/s00222-023-01207-3 ArXiv: 1910.11860
Preprint
2023 Repository Open Access
Benjamin Gess and Daniel Heydecker

A rescaled zero-range process for the porous medium equation : hydrodynamic limit, large deviations and gradient flow

BibTex

 ArXiv: 2303.11289
Preprint
2023 Repository Open Access
Benjamin Gess and Sebastian Kassing

Convergence rates for momentum stochastic gradient descent with noise of machine learning type

BibTex

 ArXiv: 2302.03550
Preprint
2023 Repository Open Access
Benjamin Gess, Daniel Heydecker and Zhengyan Wu

Landau-Lifshitz-Navier-Stokes equations : large deviations and relationship to the energy equality

BibTex

 ArXiv: 2311.02223
Preprint
2023 Repository Open Access
Benjamin Gess and Jonas Sauer

Optimal regularity in time and space for nonlocal porous medium type equations

BibTex

 ArXiv: 2311.06225
inJournal
2023 Repository Open Access
Benjamin Gess, Rishabh S. Gvalani, Florian Kunick and Felix Otto

Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise

In: Mathematics of computation, 92 (2023), pp. 1931-1976

BibTex

 DOI: 10.1090/mcom/3830 ArXiv: 2109.06083
inJournal
2022 Repository Open Access
Stefano Bruno, Benjamin Gess and Hendrik Weber

Optimal regularity in time and space for stochastic porous medium equations

In: The annals of probability, 50 (2022) 6, pp. 2288-2343

BibTex

 DOI: 10.1214/22-AOP1583 ArXiv: 2110.01637
Preprint
2022 Repository Open Access
Benjamin J. Fehrman, Benjamin Gess and Rishabh S. Gvalani

Ergodicity and random dynamical systems for conservative SPDEs

BibTex

 ArXiv: 2206.14789
inJournal
2022 Repository Open Access
Franco Flandoli, Benjamin Gess and Francesco Grotto

An example of intrinsic randomness in deterministic PDEs

In: Stochastics and dynamics, 22 (2022) 7, p. 2240023

BibTex

 DOI: 10.1142/s0219493722400238 ArXiv: 2012.04398
Preprint
2022 Repository Open Access
Benjamin Gess, Rishabh S. Gvalani and Vitalii Konarovskyi

Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent

BibTex

 ArXiv: 2207.05705
Preprint
2022 Repository Open Access
Benjamin Gess and Pavlos Tsatsoulis

Lyapunov exponents and synchronisation by noise for systems of SPDEs

BibTex

 ArXiv: 2207.09820
Preprint
2021 Repository Open Access
L'ubomír Baňas, Benjamin Gess and Marius Neuß

Stochastic partial differential equations arising in self-organized criticality

BibTex

 ArXiv: 2104.13336
inJournal
2021 Journal Open Access
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann and Günther Grün

Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise

In: Archive for rational mechanics and analysis, 242 (2021) 1, pp. 179-234

BibTex

 DOI: 10.1007/s00205-021-01682-z ArXiv: 2012.04356
inJournal
2021 Repository Open Access
Konstantinos Dareiotis, Máté Gerencscér and Benjamin Gess

Porous media equations with multiplicative space-time white noise

In: Annales de l'Institut Henri Poincaré / B, 57 (2021) 4, pp. 2354-2371

BibTex

 DOI: 10.1214/20-AIHP1139 ArXiv: 2002.12924
inJournal
2021 Repository Open Access
Benjamin J. Fehrman and Benjamin Gess

Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise

In: Journal de mathématiques pures et appliquées, 148 (2021), pp. 221-266

BibTex

 DOI: 10.1016/j.matpur.2021.01.004 ArXiv: 1807.04230
inJournal
2021 Repository Open Access
Benjamin Gess

Optimal regularity for the porous medium equation

In: Journal of the European Mathematical Society, 23 (2021) 2, pp. 425-465

BibTex

 DOI: 10.4171/JEMS/1014 ArXiv: 1708.04408
Preprint
2021 Repository Open Access
Benjamin Gess and Ivan Yaroslavtsev

Stabilization by transport noise and enhanced dissipation in the Kraichnan model

BibTex

 ArXiv: 2104.03949
inJournal
2020 Repository Open Access
Sebastian Becker, Benjamin Gess, Arnulf Jentzen and Peter E. Kloeden

Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations

In: BIT : numerical mathematics, 60 (2020) 4, pp. 1057-1073

BibTex

 DOI: 10.1007/s10543-020-00807-2 ArXiv: 1811.01725
inJournal
2020 Repository Open Access
Konstantinos Dareiotis, Benjamin Gess and Pavlos Tsatsoulis

Ergodicity for stochastic porous media equations with multiplicative noise

In: SIAM journal on mathematical analysis, 52 (2020) 5, pp. 4524-4564

BibTex

 DOI: 10.1137/19M1278521 ArXiv: 1907.04605
inJournal
2020 Journal Open Access
Konstantinos Dareiotis and Benjamin Gess

Nonlinear diffusion equations with nonlinear gradient noise

In: Electronic journal of probability, 25 (2020), p. 35

BibTex

 DOI: 10.1214/20-EJP436 ArXiv: 1811.08356
Preprint
2020 Repository Open Access
Nicolas Dirr, Benjamin J. Fehrman and Benjamin Gess

Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process

BibTex

 ArXiv: 2012.02126
inJournal
2020 Journal Open Access
Benjamin J. Fehrman, Benjamin Gess and Arnulf Jentzen

Convergence rates for the stochastic gradient descent method for non-convex objective functions

In: Journal of machine learning research, 21 (2020) 136, pp. 1-48

BibTex

 ArXiv: 1904.01517 Link: jmlr.csail.mit.edu
inJournal
2020 Repository Open Access
Paul Gassiat, Benjamin Gess, Pierre-Louis Lions and Panagiotis E. Souganidis

Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians

In: Probability theory and related fields, 176 (2020) 1/2, pp. 421-448

BibTex

 DOI: 10.1007/s00440-019-00921-5 ArXiv: 1805.08477
inJournal
2020 Repository Open Access
Benjamin Gess, Cheng Ouyang and Samy Tindel

Density bounds for solutions to differential equations driven by Gaussian rough paths

In: Journal of theoretical probability, 33 (2020) 2, pp. 611-648

BibTex

 DOI: 10.1007/s10959-019-00967-0 ArXiv: 1712.02740
inJournal
2020 Repository Open Access
Benjamin Gess, Jonas Sauer and Eitan Tadmor

Optimal regularity in time and space for the porous medium equation

In: Analysis and PDE, 13 (2020) 8, pp. 2441-2480

BibTex

 DOI: 10.2140/apde.2020.13.2441 ArXiv: 1902.08632
inJournal
2020 Repository Open Access
Benjamin Gess, Wei Liu and Andre Schenke

Random attractors for locally monotone stochastic partial differential equations

In: Journal of differential equations, 269 (2020) 4, pp. 3414-3455

BibTex

 DOI: 10.1016/j.jde.2020.03.002 ArXiv: 1908.03539
inJournal
2020 Repository Open Access
Benjamin Gess and Pavlos Tsatsoulis

Synchronization by noise for the stochastic quantization equation in dimensions \(2\) and \(3\)

In: Stochastics and dynamics, 20 (2020) 6, p. 240006

BibTex

 DOI: 10.1142/S0219493720400067 ArXiv: 1910.07769
inJournal
2020 Repository Open Access
Benjamin Gess and Manuel V. Gnann

The stochastic thin-film equation : existence of nonnegative martingale solutions

In: Stochastic processes and their applications, 130 (2020) 12, pp. 7260-7302

BibTex

 DOI: 10.1016/j.spa.2020.07.013 ArXiv: 1904.08951
inJournal
2019 Repository Open Access
Khalil Chouk and Benjamin Gess

Path-by-path regularization by noise for scalar conservation laws

In: Journal of functional analysis, 277 (2019) 5, pp. 1469-1498

BibTex

 DOI: 10.1016/j.jfa.2019.06.005 ArXiv: 1708.00823
inJournal
2019 Repository Open Access
Michele Coghi and Benjamin Gess

Stochastic nonlinear Fokker-Planck equations

In: Nonlinear analysis / A, 187 (2019), pp. 259-278

BibTex

 DOI: 10.1016/j.na.2019.05.003 ArXiv: 1904.07894
inJournal
2019 Repository Open Access
Konstantinos Dareiotis, Máté Gerencscér and Benjamin Gess

Entropy solutions for stochastic porous media equations

In: Journal of differential equations, 266 (2019) 6, pp. 3732-3763

BibTex

 DOI: 10.1016/j.jde.2018.09.012 ArXiv: 1803.06953
inJournal
2019 Journal Open Access
Konstantinos Dareiotis and Benjamin Gess

Supremum estimates for degenerate, quasilinear stochastic partial differential equations

In: Annales de l'Institut Henri Poincaré / B, 55 (2019) 3, pp. 1765-1796

BibTex

 DOI: 10.1214/18-AIHP934 ArXiv: 1712.06655
inJournal
2019 Journal Open Access
Benjamin J. Fehrman and Benjamin Gess

Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise

In: Archive for rational mechanics and analysis, 233 (2019) 1, pp. 249-322

BibTex

 DOI: 10.1007/s00205-019-01357-w ArXiv: 1712.05775
inJournal
2019 Repository Open Access
Paul Gassiat and Benjamin Gess

Regularization by noise for stochastic Hamilton-Jacobi equations

In: Probability theory and related fields, 173 (2019) 3/4, pp. 1063-1098

BibTex

 DOI: 10.1007/s00440-018-0848-7 ArXiv: 1609.07074
inJournal
2019 Repository Open Access
Benjamin Gess and Xavier Lamy

Regularity of solutions to scalar conservation laws with a force

In: Annales de l'Institut Henri Poincaré / C, 36 (2019) 2, pp. 505-521

BibTex

 DOI: 10.1016/j.anihpc.2018.07.002 ArXiv: 1707.06866
inJournal
2019 Repository Open Access
Benjamin Gess and Scott A. Smith

Stochastic continuity equations with conservative noise

In: Journal de mathématiques pures et appliquées, 128 (2019), pp. 225-263

BibTex

 DOI: 10.1016/j.matpur.2019.02.002 ArXiv: 1710.04906
inBook
2018
Benjamin Gess

Regularization and well-posedness by noise for ordinary and partial differential equations

In: Stochastic partial differential equations and related fields : in honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10-14, 2016 / Andreas Eberle... (eds.)
Cham : Springer, 2018. - pp. 43-67
(Springer proceedings in mathematics and statistics ; 229)

BibTex

 DOI: 10.1007/978-3-319-74929-7_3 Link: www.bgess.de
inJournal
2018 Repository Open Access
Benjamin Gess and Martina Hofmanová

Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

In: The annals of probability, 46 (2018) 5, pp. 2495-2544

BibTex

 DOI: 10.1214/17-AOP1231 ArXiv: 1611.03600
inJournal
2018 Repository Open Access
Benjamin Gess and Mario Maurelli

Well-posedness by noise for scalar conservation laws

In: Communications in partial differential equations, 43 (2018) 12, pp. 1702-1736

BibTex

 DOI: 10.1080/03605302.2018.1535604 ArXiv: 1701.05393
inJournal
2017 Repository Open Access
Franco Flandoli, Benjamin Gess and Michael Scheutzow

Synchronization by noise

In: Probability theory and related fields, 168 (2017) 3/4, pp. 511-556

BibTex

 DOI: 10.1007/s00440-016-0716-2 ArXiv: 1411.1340
inJournal
2017 Journal Open Access
Franco Flandoli, Benjamin Gess and Michael Scheutzow

Synchronization by noise for order-preserving random dynamical systems

In: The annals of probability, 45 (2017) 2, pp. 1325-1350

BibTex

 DOI: 10.1214/16-AOP1088 ArXiv: 1503.08737
inJournal
2017 Repository Open Access
Benjamin Gess and Panagiotis E. Souganidis

Long-time behavior, invariant measures and regularizing effects for stochastic scalar conservation laws

In: Communications on pure and applied mathematics, 70 (2017) 8, pp. 1562-1597

BibTex

 DOI: 10.1002/cpa.21646 ArXiv: 1411.3939
inJournal
2017 Repository Open Access
Benjamin Gess and Panagiotis E. Souganidis

Stochastic non-isotropic degenerate parabolic-hyperbolic equations

In: Stochastic processes and their applications, 127 (2017) 9, pp. 2961-3004

BibTex

 DOI: 10.1016/j.spa.2017.01.005 ArXiv: 1611.01303
inJournal
2017 Repository Open Access
Benjamin Gess and Michael Röckner

Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations

In: Transactions of the American Mathematical Society, 369 (2017) 5, pp. 3017-3045

BibTex

 DOI: 10.1090/tran/6981 ArXiv: 1405.5866
inJournal
2016 Repository Open Access
Peter K. Friz and Benjamin Gess

Stochastic scalar conservation laws driven by rough paths

In: Annales de l'Institut Henri Poincaré / C, 33 (2016) 4, pp. 933-963

BibTex

 DOI: 10.1016/j.anihpc.2015.01.009 ArXiv: 1403.6785
inJournal
2016 Repository Open Access
Peter K. Friz, Benjamin Gess, Archil Gulisashvili and Sebastian Riedel

The Jain-Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory

In: The annals of probability, 44 (2016) 1, pp. 684-738

BibTex

 DOI: 10.1214/14-AOP986 ArXiv: 1307.3460
inJournal
2016 Repository Open Access
Paul Gassiat and Benjamin Gess

Regularization by noise for stochastic Hamilton-Jacobi equations [In: Rough paths, regularity structures and related topics ; 1 May - 7 May 2016 ; report no. 24/2016]

In: Oberwolfach reports, 13 (2016) 2, pp. 1349-1353

BibTex

 DOI: 10.4171/OWR/2016/24 Link: publications.mfo.de
inJournal
2016 Repository Open Access
Benjamin Gess and Jonas M. Tölle

Ergodicity and local limits for stochastic local and nonlocal \(p\)-Laplace equations

In: SIAM journal on mathematical analysis, 48 (2016) 6, pp. 4094-4125

BibTex

 DOI: 10.1137/15M1049774 ArXiv: 1507.04545
inJournal
2016 Repository Open Access
Benjamin Gess, Benoît Perthame and Panagiotis E. Souganidis

Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes

In: SIAM journal on numerical analysis, 54 (2016) 4, pp. 2187-2209

BibTex

 DOI: 10.1137/15M1053670 ArXiv: 1512.06056
inJournal
2016 Repository Open Access
Benjamin Gess and Jonas M. Tölle

Stability of solutions to stochastic partial differential equations

In: Journal of differential equations, 260 (2016) 6, pp. 4973-5025

BibTex

 DOI: 10.1016/j.jde.2015.11.039 ArXiv: 1506.01230
inJournal
2015 Repository Open Access
Michael Cranston, Benjamin Gess and Michael Scheutzow

Weak synchronization for isotropic flows

In: Discrete and continuous dynamical systems / B, 21 (2015) 9, pp. 3003-3014

BibTex

 DOI: 10.3934/dcdsb.2016084 ArXiv: 1510.09096
inJournal
2015 Repository Open Access
Benjamin Gess

Finite time extinction for stochastic sign fast diffusion and self-organized criticality

In: Communications in mathematical physics, 335 (2015) 1, pp. 309-344

BibTex

 DOI: 10.1007/s00220-014-2225-4 ArXiv: 1310.6971
inJournal
2015 Repository Open Access
Benjamin Gess and Panagiotis E. Souganidis

Scalar conservation laws with multiple rough fluxes

In: Communications in mathematical sciences, 13 (2015) 6, pp. 1569-1597

BibTex

 DOI: 10.4310/CMS.2015.v13.n6.a10 ArXiv: 1406.2978
inJournal
2015 Repository Open Access
Benjamin Gess and Michael Röckner

Singular-degenerate multivalued stochastic fast diffusion equations

In: SIAM journal on mathematical analysis, 47 (2015) 5, pp. 4058-4090

BibTex

 DOI: 10.1137/151003726 ArXiv: 1501.01544
inJournal
2014 Repository Open Access
Benjamin Gess and Jonas M. Tölle

Multi-valued, singular stochastic evolution inclusions

In: Journal de mathématiques pures et appliquées, 101 (2014) 6, pp. 789-827

BibTex

 DOI: 10.1016/j.matpur.2013.10.004 ArXiv: 1112.5672
inJournal
2014 Repository Open Access
Benjamin Gess

Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise

In: The annals of probability, 42 (2014) 2, pp. 818-864

BibTex

 DOI: 10.1214/13-AOP869 ArXiv: 1108.2413
Preprint
2013 Repository Open Access
Peter K. Friz, Benjamin Gess and Sebastian Riedel

On the variational regularity of Cameron-Martin paths

BibTex

 ArXiv: 1305.2943
Preprint
2013 Repository Open Access
Peter K. Friz, Benjamin Gess, Archil Gulisashvili and Sebastian Riedel

Spatial rough path lifts of stochastic convolutions

BibTex

 ArXiv: 1211.0046
inJournal
2013 Repository Open Access
Benjamin Gess

Finite speed of propagation for stochastic porous media equation

In: SIAM journal on mathematical analysis, 45 (2013) 5, pp. 2734-2766

BibTex

 DOI: 10.1137/120894713 ArXiv: 1210.2415
inJournal
2013 Repository Open Access
Benjamin Gess

Random attractors for degenerate stochastic partial differential equations

In: Journal of dynamics and differential equations, 25 (2013) 1, pp. 121-157

BibTex

 DOI: 10.1007/s10884-013-9294-5 ArXiv: 1206.2329
inJournal
2013 Repository Open Access
Benjamin Gess

Random attractors for singular stochastic evolution equations

In: Journal of differential equations, 255 (2013) 3, pp. 524-559

BibTex

 DOI: 10.1016/j.jde.2013.04.023 ArXiv: 1111.0205
inJournal
2012 Repository Open Access
Benjamin Gess

Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise

In: Comptes rendus mathematique, 350 (2012) 5-6, pp. 299-302

BibTex

 DOI: 10.1016/j.crma.2012.02.004 ArXiv: 1108.2413
inJournal
2012 Repository Open Access
Benjamin Gess, Peter K. Friz, Archil Gulisashvili and Sebastian Riedel

Spatial rough path lifts of stochastic convolutions [In: Rough paths and PDEs ; August 19-25th 2012 ; report no. 41/2012]

In: Oberwolfach reports, 9 (2012) 3, pp. 2509-2513

BibTex

 DOI: 10.4171/OWR/2012/41 Link: publications.mfo.de
inJournal
2012 Repository Open Access
Benjamin Gess

Strong solutions for stochastic partial differential equations of gradient type

In: Journal of functional analysis, 263 (2012) 8, pp. 2355-2383

BibTex

 DOI: 10.1016/j.jfa.2012.07.001 ArXiv: 1104.4243
inJournal
2011 Repository Open Access
Benjamin Gess, Wei Liu and Michael Röckner

Random attractors for a class of stochastic partial differential equations driven by general additive noise

In: Journal of differential equations, 251 (2011) 4-5, pp. 1225-1253

BibTex

 DOI: 10.1016/j.jde.2011.02.013 ArXiv: 1010.4641
Academic
2011
Benjamin Gess

Stochastic flows induced by stochastic partial differential equations

Dissertation, Universität Bielefeld, 2011

BibTex
inJournal
2010 Repository Open Access
Wolf-Jürgen Beyn, Benjamin Gess, Paul Lescot and Michael Röckner

The global random attractor for a class of stochastic porous media equations

In: Communications in partial differential equations, 36 (2010) 3, pp. 446-469

BibTex

 DOI: 10.1080/03605302.2010.523919 ArXiv: 1010.0551
Academic
2009
Benjamin Gess

Convexity of Chebyshev sets

Master's thesis, Warwick University, 2009

BibTex

Open Access Types

Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)

Repository Open Access
• Publications on a preprint server or on a free repository (green open access)