Jump processes on the boundaries of random trees

Yuki Tokushige

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arXiv · 1708.08075

Jump processes on the boundaries of random trees

Yuki Tokushige

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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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Yuki Tokushige. 2019-02-12. Jump processes on the boundaries of random trees. https://arxiv.org/abs/1708.08075

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