140 citations · 709 across the 61 of their papers we have counts for
6 papers · 2 filters
Synchronisation by noise for the stochastic quantisation equation in dimensions and
Benjamin Gess, Pavlos Tsatsoulis
We prove uniform synchronisation by noise with rates for the stochastic quantisation equation in dimensions two and three. The proof relies on a combination of coming down from inf…
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift
Benjamin Fehrman, Benjamin Gess
Large deviations of conservative interacting particle systems, such as the zero range process, about their hydrodynamic limit and their respective rate functions lead to the analys…
Random attractors for locally monotone stochastic partial differential equations
Benjamin Gess, Wei Liu, Andre Schenke
We prove the existence of random dynamical systems and random attractors for a large class of locally monotone stochastic partial differential equations perturbed by additive Lévy…
Ergodicity for Stochastic Porous Media Equations
Konstantinos Dareiotis, Benjamin Gess, Pavlos Tsatsoulis
The long time behaviour of solutions to stochastic porous media equations on smooth bounded domains with Dirichlet boundary data is studied. Based on weighted -estimates the…
Stochastic nonlinear Fokker-Planck equations
Michele Coghi, Benjamin Gess
The existence and uniqueness of measure-valued solutions to stochastic nonlinear, non-local Fokker-Planck equations is proven. This type of stochastic PDE is shown to arise in the…
The stochastic thin-film equation: existence of nonnegative martingale solutions
Benjamin Gess, Manuel V. Gnann
We consider the stochastic thin-film equation with colored Gaussian Stratonovich noise in one space dimension and establish the existence of nonnegative weak (martingale) solutions…