Exit time for anchored expansion

Details Exit time for anchored expansion Exit time for anchored expansion

2009-03-23

arxiv.org/abs/0903.3892v1

Mathematics

Probability

18 pages

Scientific paper

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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