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arXiv:0903.3892 [math.PR]AbstractReferencesReviewsResources

Exit time for anchored expansion

T. Delmotte, C. Rau

Published 2009-03-23, updated 2015-07-02Version 2

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 $\Z^d$.

Comments: 18 pages, version 2
Categories: math.PR
Subjects: 60G50, 60J10, 60J45, 31C05
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