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arXiv · 0903.3892

Exit time for anchored expansion

T. Delmotte·C. Rau
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Abstract

Let $(X_n)_{n\geq 0}$ be a reversible random walk on a graph $G$ satisfying an anchored isoperimetric inequality. We give upper bounds for exit time (and occupation time in transient case) by X of any set which contains the root. As an application, we consider random environments of $\Z^d$.

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T. Delmotte, C. Rau. 2009-03-23. Exit time for anchored expansion. https://arxiv.org/abs/0903.3892

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