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Isoperimetric Inequalities and Decay of Iterated Kernels for Almost-transitive Markov Chains

Published online by Cambridge University Press:  12 September 2008

L. Saloff-Coste
Affiliation:
CNRS, Statistique et Probabilités, Université Paul Sabatier, France

Abstract

This paper gives precise isoperimetric inequalities for infinite graphs on which a group acts with finite quotient. Decay estimates are obtained for the iterated kernels of the associated random walks.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1995

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