Publications
Preprints
Baňas, L.
; Gess, B.
and Vieth, C.
:
Numerical approximation of singular-degenerate parabolic stochastic PDEs.
Bibtex [ARXIV] Repository Open Access
Dareiotis, K.
; Gerencscér, M.
and Gess, B.
:
Porous media equations with multiplicative space-time white noise.
Bibtex [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.
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
Flandoli, F.
; Gess, B.
and Grotto, F.
:
A new correspondence between TASEP and Burgers' equation.
Bibtex [ARXIV] Repository Open Access
Fehrman, B.
J. and Gess, B.
:
Large deviations for conservative stochastic PDE and non-equilibrium fluctuations.
Bibtex [ARXIV] Repository Open Access
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.
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
Fehrman, B.
J. and Gess, B.
:
Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise.
Journal de mathématiques pures et appliquées,
Vol. not yet known, pp. not yet known 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.
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]
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]
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.
; 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
