Jump processes on the boundaries of random trees

2017/08/27 by Yuki Tokushige, Tokushige, Yuki
Mathematics · Physics and Astronomy · #60J25 #60J50 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1708.08075

openalex publication_date 2017/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 on-diagonal heat kernel estimates and estimates of mean displacements.

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