5 papers
Periodic homogenisation for two dimensional generalised parabolic Anderson model
Yilin Chen, Benjamin Fehrman, Weijun Xu
We consider the periodic homogenisation problem for the generalised parabolic Anderson model on the two dimensional torus. We show that, for the renormalisation that respects Wick…
Green function and invariant measure estimates for nondivergence form elliptic homogenization
Scott Armstrong, Benjamin Fehrman, Jessica Lin
We prove quantitative estimates on the the parabolic Green function and the stationary invariant measure in the context of stochasic homogenization of elliptic equations in nondive…
Matching Large Deviation Bounds of the Zero-Range Process in the whole space
Benjamin Fehrman, Benjamin Gess, Daniel Heydecker
We consider the large deviations of the hydrodynamic rescaling of the zero-range process on in any dimension . Under mild and canonical hypotheses on the loc…
Stochastic PDEs with correlated, non-stationary Stratonovich noise of Dean--Kawasaki type
Benjamin Fehrman
The results of the author and Gess [27] develop a robust well-posedness theory for a broad class of conservative stochastic PDEs, with both probabilistically stationary and non-sta…
Conservative stochastic PDEs on the whole space
Benjamin Fehrman, Benjamin Gess
The purpose of this paper is to establish a well-posedness theory for conservative stochastic partial differential equations on the whole space. This class of stochastic PDEs arise…