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

Fingerprint

Jump Process
Fractal
Kernel Estimate
Stable Process
Heat Kernel
Decay Rate
Diffusion Process
Class

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Bottom crossing probability for symmetric jump processes. / Shiozawa, Yuichi.

In: Mathematische Zeitschrift, 22.03.2017, p. 1-22.

Research output: Contribution to journalArticle

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