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Upper escape rate of Markov chains on weighted graphs

We obtain an upper escape rate function for a continuous time minimal symmetric Markov chain defined on a locally finite weighted graph. This upper rate function, which has the same form as the manifold setting, is given in terms of the volume growth with respect to an adapted path metric. Our approach also gives a weak form of Folz’s theorem on the conservativeness as a consequence.
Year of publication:
2014
Authors: Huang, Xueping ; Shiozawa, Yuichi
Published in:
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 124.2014, 1, p. 317-347
Publisher: Elsevier
Subject: Escape rate | Upper rate function | Markov chains | Weighted graphs
Type of publication: Article
Source:
Persistent link: https://ebvufind01.dmz1.zbw.eu/10010875071
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