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Jump processes on the boundaries of random trees
Yuki Tokushige · 2017-08-27 · via math.PR updates on arXiv.org

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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