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math.PR2022
Stochastic homogenization with space-time ergodic divergence-free drift
Benjamin Fehrman
We prove that diffusion equations with a space-time stationary and ergodic, divergence-free drift homogenize in law to a deterministic stochastic partial differential equation with…
math.PR2022★ 1 cited
Ergodicity and random dynamical systems for conservative SPDEs
Benjamin Fehrman, Benjamin Gess, Rishabh S. Gvalani
The dynamics of the solutions to a class of conservative SPDEs are analysed from two perspectives: Firstly, a probabilistic construction of a corresponding random dynamical system…