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Cover Times and Generic Chaining

Part of: Markov processes Stochastic processes

Published online by Cambridge University Press:  30 January 2018

Joseph Lehec
Joseph Lehec*
Affiliation:
Université Paris-Dauphine
*
∗ Postal address: Université Paris-Dauphine, UMR CNRS 7534, Place de Lattre de Tassigny, Paris, 75016, France. Email address: lehec@ceremade.dauphine.fr
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Abstract

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A recent result of Ding, Lee and Peres (2012) expressed the cover time of the random walk on a graph in terms of generic chaining for the commute distance. Their argument is based on Dynkin's isomorphism theorem. The purpose of this article is to present an alternative approach to this problem, based only on elementary hitting time estimates and chaining arguments.

Keywords

Markov chainhitting timecover timegeneric chaining

MSC classification

Primary: 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)
Secondary: 60G15: Gaussian processes
Type
Research Article
Information
Journal of Applied Probability , Volume 51 , Issue 1 , March 2014 , pp. 247 - 261
Copyright
© Applied Probability Trust 

References

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