Bottom crossing probability for symmetric jump processes

Yuichi Shiozawa

Research output: Contribution to journalArticlepeer-review

Abstract

We determine the decay rate of the bottom crossing probability for symmetric jump processes under the condition on heat kernel estimates. Our results are applicable to symmetric stable-like processes and stable-subordinated diffusion processes on a class of (unbounded) fractals and fractal-like spaces.

Original languageEnglish
Pages (from-to)1355-1376
Number of pages22
JournalMathematische Zeitschrift
Volume287
Issue number3-4
DOIs
Publication statusPublished - Dec 1 2017

Keywords

  • Bottom crossing probability
  • Dirichlet form
  • Heat kernel
  • Symmetric jump process

ASJC Scopus subject areas

  • Mathematics(all)

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