Croydon, David A. (2015) Moduli of continuity of local times of random walks on graphs in terms of the resistance metric. Transactions of the London Mathematical Society, Volume 2 (Number 1). pp. 57-79. doi:10.1112/tlms/tlv003 ISSN 2052-4986.

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Abstract

In this article, universal concentration estimates are established for the local times of random walks on weighted graphs in terms of the resistance metric. As a particular application of these, a modulus of continuity for local times is provided in the case when the graphs in question satisfy a certain volume growth condition with respect to the resistance metric. Moreover, it is explained how these results can be applied to self-similar fractals, for which they are shown to be useful for deriving scaling limits for local times and asymptotic bounds for the cover time distribution.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Statistics
Journal or Publication Title:	Transactions of the London Mathematical Society
Publisher:	London Mathematical Society
ISSN:	2052-4986
Official Date:	2015
Dates:	Date Event 12 May 2014 Submitted 5 February 2015 Accepted 2015 Published
Volume:	Volume 2
Number:	Number 1
Page Range:	pp. 57-79
DOI:	10.1112/tlms/tlv003
Status:	Not Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	28 July 2016
Date of first compliant Open Access:	28 July 2016
Open Access Version:	ArXiv

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