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arxiv: 1807.03531 · v1 · pith:2CO6KEJQnew · submitted 2018-07-10 · 🧮 math.PR

An elliptic Harnack inequality for random walk in balanced environments

classification 🧮 math.PR
keywords balancedharnackinequalityprovealongbelievecoefficientsdifference
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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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