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 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 journal › Article

Shiozawa, Y 2017, 'Bottom crossing probability for symmetric jump processes', Mathematische Zeitschrift, pp. 1-22. https://doi.org/10.1007/s00209-017-1872-5
Shiozawa Y. Bottom crossing probability for symmetric jump processes. Mathematische Zeitschrift. 2017 Mar 22;1-22. https://doi.org/10.1007/s00209-017-1872-5
Shiozawa, Yuichi. / Bottom crossing probability for symmetric jump processes. In: Mathematische Zeitschrift. 2017 ; pp. 1-22.
@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 = "3",
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

SP - 1

EP - 22

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

ER -

Access to Document