Bottom crossing probability for symmetric jump processes

Yuichi Shiozawa

Research output: Contribution to journalArticle

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)1-22
Number of pages22
JournalMathematische Zeitschrift
DOIs
Publication statusAccepted/In press - Mar 22 2017

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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