Jump processes on the boundaries of random trees

Yuki Tokushige

Stochastic Processes and their Applications, 2020, vol. 130, issue 2, 584-604

Abstract: In Kigami (2010), Kigami showed that a transient random walk on a deterministic infinite tree T induces its trace process on the Martin boundary of T. In this paper, we will deal with trace processes on Martin boundaries of random trees instead of deterministic ones, and prove short time log-asymptotic of heat kernel estimates and estimates of mean displacements.

Keywords: Galton–Watson tree; Dirichlet form; Martin boundary (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:130:y:2020:i:2:p:584-604

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DOI: 10.1016/j.spa.2019.02.004

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