Bottom crossing probability for symmetric jump processes

Yuichi Shiozawa

doi:10.1007/s00209-017-1872-5

Bottom crossing probability for symmetric jump processes

Yuichi Shiozawa

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	1-22
Number of pages	22
Journal	Mathematische Zeitschrift
DOIs	https://doi.org/10.1007/s00209-017-1872-5
Publication status	Accepted/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)

Cite this

Shiozawa, Y. (Accepted/In press). Bottom crossing probability for symmetric jump processes. Mathematische Zeitschrift, 1-22. https://doi.org/10.1007/s00209-017-1872-5

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Access to Document

10.1007/s00209-017-1872-5