An elliptic Harnack inequality for random walk in balanced environments

Noam Berger; Moran Cohen; Jean-Dominique Deuschel; Xiaoqin Guo

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arXiv · 1807.03531

An elliptic Harnack inequality for random walk in balanced environments

Noam Berger·Moran Cohen·Jean-Dominique Deuschel·Xiaoqin Guo

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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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Noam Berger, Moran Cohen, Jean-Dominique Deuschel, Xiaoqin Guo. 2018-07-10. An elliptic Harnack inequality for random walk in balanced environments. https://arxiv.org/abs/1807.03531

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