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

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1355-1376
Number of pages	22
Journal	Mathematische Zeitschrift
Volume	287
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-017-1872-5
Publication status	Published - Dec 1 2017

Keywords

Bottom crossing probability
Dirichlet form
Heat kernel
Symmetric jump process

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-017-1872-5

Cite this

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title = "Bottom crossing probability for symmetric jump processes",

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.",

keywords = "Bottom crossing probability, Dirichlet form, Heat kernel, Symmetric jump process",

author = "Yuichi Shiozawa",

note = "Funding Information: Supported in part by the Grant-in-Aid for Scientific Research (C) 26400135. Publisher Copyright: {\textcopyright} 2017, Springer-Verlag Berlin Heidelberg.",

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Bottom crossing probability for symmetric jump processes

Abstract

Keywords

ASJC Scopus subject areas

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