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math.PR2025
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…
math.PR2025
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…
math.PR2024
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…