Publications
Preprints
Fehrman, B. J. ; Gess, B. and Gvalani, R. S.:
Ergodicity and random dynamical systems for conservative SPDEs.
Bibtex [ARXIV] Repository Open Access
Gess, B. ; Gvalani, R. S. and Konarovskyi, V.:
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent.
Bibtex [ARXIV] Repository Open Access
Gess, B. and Tsatsoulis, P.:
Lyapunov exponents and synchronisation by noise for systems of SPDEs.
Bibtex [ARXIV] Repository Open Access
Baňas, L. ; Gess, B. and Neuß, M.:
Stochastic partial differential equations arising in self-organized criticality.
Bibtex [ARXIV] Repository Open Access
Bruno, S. ; Gess, B. and Weber, H.:
Optimal regularity in time and space for stochastic porous medium equations.
Bibtex [ARXIV] Repository Open Access
Gess, B. and Fehrman, B. J.:
Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with
correlated noise.
Bibtex [ARXIV] Repository Open Access
Gess, B. ; Gvalani, R. S. ; Kunick, F. and Otto, F.:
Thermodynamically consistent and positivity-preserving discretization of the thin-film
equation with thermal noise.
Bibtex [ARXIV] Repository Open Access
Gess, B. and Yaroslavtsev, I.:
Stabilization by transport noise and enhanced dissipation in the Kraichnan model.
Bibtex [ARXIV] Repository Open Access
Baňas, L. ; Gess, B. and Vieth, C.:
Numerical approximation of singular-degenerate parabolic stochastic PDEs.
Bibtex [ARXIV] Repository Open Access
Dirr, N. ; Fehrman, B. J. and Gess, B.:
Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process.
Bibtex [ARXIV] Repository Open Access
Fehrman, B. J. and Gess, B.:
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift.
Bibtex [ARXIV] Repository Open Access
Friz, P. K. ; Gess, B. ; Gulisashvili, A. and Riedel, S.:
Spatial rough path lifts of stochastic convolutions.
Bibtex [ARXIV] Repository Open Access
Friz, P. K. ; Gess, B. and Riedel, S.:
On the variational regularity of Cameron-Martin paths.
Bibtex [ARXIV] Repository Open Access
Publications
Becker, S. ; Gess, B. ; Jentzen, A. and Kloeden, P. E.:
Strong convergence rates for explicit space-time discrete numerical approximations
of stochastic Allen-Cahn equations.
Stochastics and partial differential equations : analysis and computations,
Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] Journal Open Access
Flandoli, F. ; Gess, B. and Grotto, F.:
An example of intrinsic randomness in deterministic PDEs.
Stochastics and dynamics,
Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] Repository Open Access
Dareiotis, K. ; Gerencscér, M. and Gess, B.:
Porous media equations with multiplicative space-time white noise.
Annales de l'Institut Henri Poincaré / B,
57 (2021) 4, p. 2354-2371 Bibtex [DOI] [ARXIV] Repository Open Access
Dareiotis, K. ; Gess, B. ; Gnann, M. V. and Grün, G.:
Non-negative martingale solutions to the stochastic thin-film equation with nonlinear
gradient noise.
Archive for rational mechanics and analysis,
242 (2021) 1, p. 179-234 Bibtex [DOI] [ARXIV] Journal Open Access
Fehrman, B. J. and Gess, B.:
Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise.
Journal de mathématiques pures et appliquées,
148 (2021), p. 221-266 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Optimal regularity for the porous medium equation.
Journal of the European Mathematical Society,
23 (2021) 2, p. 425-465 Bibtex [DOI] [ARXIV] Repository Open Access
Becker, S. ; Gess, B. ; Jentzen, A. and Kloeden, P. E.:
Lower and upper bounds for strong approximation errors for numerical approximations
of stochastic heat equations.
BIT : numerical mathematics,
60 (2020) 4, p. 1057-1073 Bibtex [DOI] [ARXIV] Repository Open Access
Dareiotis, K. and Gess, B.:
Nonlinear diffusion equations with nonlinear gradient noise.
Electronic journal of probability,
25 (2020), 35 Bibtex [DOI] [ARXIV] Journal Open Access
Dareiotis, K. ; Gess, B. and Tsatsoulis, P.:
Ergodicity for stochastic porous media equations with multiplicative noise.
SIAM journal on mathematical analysis,
52 (2020) 5, p. 4524-4564 Bibtex [DOI] [ARXIV] Repository Open Access
Fehrman, B. J. ; Gess, B. and Jentzen, A.:
Convergence rates for the stochastic gradient descent method for non-convex objective
functions.
Journal of machine learning research,
21 (2020) 136, p. 1-48 Bibtex [ARXIV] [FREELINK] Journal Open Access
Gassiat, P. ; Gess, B. ; Lions, P.-L. and Souganidis, P. E.:
Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time
dependence and convex Hamiltonians.
Probability theory and related fields,
176 (2020) 1/2, p. 421-448 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Gnann, M. V.:
The stochastic thin-film equation : existence of nonnegative martingale solutions.
Stochastic processes and their applications,
130 (2020) 12, p. 7260-7302 Bibtex [DOI] [ARXIV] [FREELINK] Repository Open Access
Gess, B. ; Liu, W. and Schenke, A.:
Random attractors for locally monotone stochastic partial differential equations.
Journal of differential equations,
269 (2020) 4, p. 3414-3455 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. ; Ouyang, C. and Tindel, S.:
Density bounds for solutions to differential equations driven by Gaussian rough paths.
Journal of theoretical probability,
33 (2020) 2, p. 611-648 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. ; Sauer, J. and Tadmor, E.:
Optimal regularity in time and space for the porous medium equation.
Analysis and PDE,
13 (2020) 8, p. 2441-2480 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Tsatsoulis, P.:
Synchronization by noise for the stochastic quantization equation in dimensions \(2\)
and \(3\).
Stochastics and dynamics,
20 (2020) 6, 240006 Bibtex [DOI] [ARXIV] Repository Open Access
Chouk, K. and Gess, B.:
Path-by-path regularization by noise for scalar conservation laws.
Journal of functional analysis,
277 (2019) 5, p. 1469-1498 Bibtex [DOI] [ARXIV] Repository Open Access
Coghi, M. and Gess, B.:
Stochastic nonlinear Fokker-Planck equations.
Nonlinear analysis / A,
187 (2019), p. 259-278 Bibtex [DOI] [ARXIV] Repository Open Access
Dareiotis, K. ; Gerencscér, M. and Gess, B.:
Entropy solutions for stochastic porous media equations.
Journal of differential equations,
266 (2019) 6, p. 3732-3763 Bibtex [DOI] [ARXIV] Repository Open Access
Dareiotis, K. and Gess, B.:
Supremum estimates for degenerate, quasilinear stochastic partial differential equations.
Annales de l'Institut Henri Poincaré / B,
55 (2019) 3, p. 1765-1796 Bibtex [DOI] [ARXIV] Journal Open Access
Fehrman, B. J. and Gess, B.:
Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise.
Archive for rational mechanics and analysis,
233 (2019) 1, p. 249-322 Bibtex [DOI] [ARXIV] Journal Open Access
Gassiat, P. and Gess, B.:
Regularization by noise for stochastic Hamilton-Jacobi equations.
Probability theory and related fields,
173 (2019) 3/4, p. 1063-1098 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Lamy, X.:
Regularity of solutions to scalar conservation laws with a force.
Annales de l'Institut Henri Poincaré / C,
36 (2019) 2, p. 505-521 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Smith, S. A.:
Stochastic continuity equations with conservative noise.
Journal de mathématiques pures et appliquées,
128 (2019), p. 225-263 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Regularization and well-posedness by noise for ordinary and partial differential equations.
Stochastic partial differential equations and related fields : in honor of Michael
Röckner, SPDERF, Bielefeld, Germany, October 10-14, 2016 / A.
Eberle... (eds.). Springer, 2018. - P. 43-67
(Springer proceedings in mathematics and statistics ; 229)
Bibtex [DOI] [FREELINK]
Gess, B. and Hofmanová, M.:
Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE.
The annals of probability,
46 (2018) 5, p. 2495-2544 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Maurelli, M.:
Well-posedness by noise for scalar conservation laws.
Communications in partial differential equations,
43 (2018) 12, p. 1702-1736 Bibtex [DOI] [ARXIV] Repository Open Access
Flandoli, F. ; Gess, B. and Scheutzow, M.:
Synchronization by noise.
Probability theory and related fields,
168 (2017) 3/4, p. 511-556 Bibtex [DOI] [ARXIV] Repository Open Access
Flandoli, F. ; Gess, B. and Scheutzow, M.:
Synchronization by noise for order-preserving random dynamical systems.
The annals of probability,
45 (2017) 2, p. 1325-1350 Bibtex [DOI] [ARXIV] Journal Open Access
Gess, B. and Röckner, M.:
Stochastic variational inequalities and regularity for degenerate stochastic partial
differential equations.
Transactions of the American Mathematical Society,
369 (2017) 5, p. 3017-3045 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Souganidis, P. E.:
Long-time behavior, invariant measures and regularizing effects for stochastic scalar
conservation laws.
Communications on pure and applied mathematics,
70 (2017) 8, p. 1562-1597 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Souganidis, P. E.:
Stochastic non-isotropic degenerate parabolic-hyperbolic equations.
Stochastic processes and their applications,
127 (2017) 9, p. 2961-3004 Bibtex [DOI] [ARXIV] Repository Open Access
Friz, P. K. and Gess, B.:
Stochastic scalar conservation laws driven by rough paths.
Annales de l'Institut Henri Poincaré / C,
33 (2016) 4, p. 933-963 Bibtex [DOI] [ARXIV] Repository Open Access
Friz, P. K. ; Gess, B. ; Gulisashvili, A. and Riedel, S.:
The Jain-Monrad criterion for rough paths and applications to random Fourier series
and non-Markovian Hörmander theory.
The annals of probability,
44 (2016) 1, p. 684-738 Bibtex [DOI] [ARXIV] Repository Open Access
Gassiat, P. and Gess, B.:
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].
Oberwolfach reports,
13 (2016) 2, p. 1349-1353 Bibtex [DOI] [FREELINK] Repository Open Access
Gess, B. ; Perthame, B. and Souganidis, P. E.:
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes.
SIAM journal on numerical analysis,
54 (2016) 4, p. 2187-2209 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Tölle, J. M.:
Ergodicity and local limits for stochastic local and nonlocal \(p\)-Laplace equations.
SIAM journal on mathematical analysis,
48 (2016) 6, p. 4094-4125 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Tölle, J. M.:
Stability of solutions to stochastic partial differential equations.
Journal of differential equations,
260 (2016) 6, p. 4973-5025 Bibtex [DOI] [ARXIV] Repository Open Access
Cranston, M. ; Gess, B. and Scheutzow, M.:
Weak synchronization for isotropic flows.
Discrete and continuous dynamical systems / B,
21 (2015) 9, p. 3003-3014 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Finite time extinction for stochastic sign fast diffusion and self-organized criticality.
Communications in mathematical physics,
335 (2015) 1, p. 309-344 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Röckner, M.:
Singular-degenerate multivalued stochastic fast diffusion equations.
SIAM journal on mathematical analysis,
47 (2015) 5, p. 4058-4090 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Souganidis, P. E.:
Scalar conservation laws with multiple rough fluxes.
Communications in mathematical sciences,
13 (2015) 6, p. 1569-1597 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Random attractors for stochastic porous media equations perturbed by space-time linear
multiplicative noise.
The annals of probability,
42 (2014) 2, p. 818-864 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. and Tölle, J. M.:
Multi-valued, singular stochastic evolution inclusions.
Journal de mathématiques pures et appliquées,
101 (2014) 6, p. 789-827 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Finite speed of propagation for stochastic porous media equation.
SIAM journal on mathematical analysis,
45 (2013) 5, p. 2734-2766 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Random attractors for singular stochastic evolution equations.
Journal of differential equations,
255 (2013) 3, p. 524-559 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Random attractors for degenerate stochastic partial differential equations.
Journal of dynamics and differential equations,
25 (2013) 1, p. 121-157 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Random attractors for stochastic porous media equations perturbed by space-time linear
multiplicative noise.
Comptes rendus mathematique,
350 (2012) 5-6, p. 299-302 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B.:
Strong solutions for stochastic partial differential equations of gradient type.
Journal of functional analysis,
263 (2012) 8, p. 2355-2383 Bibtex [DOI] [ARXIV] Repository Open Access
Gess, B. ; Friz, P. K. ; Gulisashvili, A. and Riedel, S.:
Spatial rough path lifts of stochastic convolutions [In: Rough paths and PDEs ; August
19-25th 2012 ; report no. 41/2012].
Oberwolfach reports,
9 (2012) 3, p. 2509-2513 Bibtex [DOI] [FREELINK] Repository Open Access
Gess, B. ; Liu, W. and Röckner, M.:
Random attractors for a class of stochastic partial differential equations driven
by general additive noise.
Journal of differential equations,
251 (2011) 4-5, p. 1225-1253 Bibtex [DOI] [ARXIV] Repository Open Access
Beyn, W.-J. ; Gess, B. ; Lescot, P. and Röckner, M.:
The global random attractor for a class of stochastic porous media equations.
Communications in partial differential equations,
36 (2010) 3, p. 446-469 Bibtex [DOI] [ARXIV] Repository Open Access
Thesis
Gess, B.:
Stochastic flows induced by stochastic partial differential equations.
Dissertation, Universität Bielefeld, 2011 Bibtex
Gess, B.:
Convexity of Chebyshev sets.
Masterarbeit, Warwick University, 2009 Bibtex
