An elliptic Harnack inequality for random walk in balanced environments

2018/07/10 by Berger, Noam, Cohen, Moran, Deuschel, Jean-Dominique +1 · 1 citation
#35B27 #60K35 #60K37 #65Q10 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1807.03531

Abstract

We prove a Harnack inequality for the solutions of a difference equation with non-elliptic balanced i.i.d. coefficients. Along the way we prove a (weak) quantitative homogenisation result, which we believe is of some interest too.

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• Homogenization of non-divergence form operators in i.i.d. random environments

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