Resolvent metric and the heat kernel estimate for random walks

Andras Telcs and Vincenzo Vespri

Stochastic Processes and their Applications, 2014, vol. 124, issue 12, 3965-3985

Abstract: In this paper we introduce the resolvent metric, the generalization of the resistance metric used for strongly recurrent walks. By using the properties of the resolvent metric we show heat kernel estimates for recurrent and transient random walks.

Date: 2014
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DOI: 10.1016/j.spa.2014.07.012

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