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math.PR2020
Large-scale regularity in stochastic homogenization with divergence-free drift
Benjamin Fehrman
We provide a simple proof of quenched stochastic homogenization for random environments with a mean zero, divergence-free drift under the assumption that the drift admits a station…
math.PR2018
Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise
Benjamin Fehrman, Benjamin Gess
We prove the path-by-path well-posedness of stochastic porous media and fast diffusion equations driven by linear, multiplicative noise. As a consequence, we obtain the existence o…