English

Jump processes on the boundaries of random trees

Probability 2019-02-13 v5

Abstract

Kigami showed that a transient random walk on a deterministic infinite tree TT induces its trace process on the Martin boundary of TT. 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.

Keywords

Cite

@article{arxiv.1708.08075,
  title  = {Jump processes on the boundaries of random trees},
  author = {Yuki Tokushige},
  journal= {arXiv preprint arXiv:1708.08075},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-22T21:24:30.996Z