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 › 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)	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

Keywords

Bottom crossing probability
Dirichlet form
Heat kernel
Symmetric jump process

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s00209-017-1872-5

Fingerprint Dive into the research topics of 'Bottom crossing probability for symmetric jump processes'. Together they form a unique fingerprint.

Cite this

@article{74d1d328cf7b4fe1ac8d30fbcee4822a,

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",

year = "2017",

month = mar,

day = "22",

doi = "10.1007/s00209-017-1872-5",

language = "English",

pages = "1--22",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

publisher = "Springer New York",

}

TY - JOUR

T1 - Bottom crossing probability for symmetric jump processes

AU - Shiozawa, Yuichi

PY - 2017/3/22

Y1 - 2017/3/22

N2 - 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.

AB - 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.

KW - Bottom crossing probability

KW - Dirichlet form

KW - Heat kernel

KW - Symmetric jump process

UR - http://www.scopus.com/inward/record.url?scp=85015962143&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85015962143&partnerID=8YFLogxK

U2 - 10.1007/s00209-017-1872-5

DO - 10.1007/s00209-017-1872-5

M3 - Article

AN - SCOPUS:85015962143

SP - 1

EP - 22

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

ER -

Bottom crossing probability for symmetric jump processes

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this