Rate Functions for Symmetric Markov Processes via Heat Kernel

Yuichi Shiozawa, Jian Wang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

By making full use of heat kernel estimates, we establish the integral tests on the zero-one laws of upper and lower bounds for the sample path ranges of symmetric Markov processes. In particular, these results concerning on upper rate bounds are applicable for local and non-local Dirichlet forms, while lower rate bounds are investigated in both subcritical setting and critical setting.

Original languageEnglish
Pages (from-to)1-31
Number of pages31
JournalPotential Analysis
DOIs
Publication statusAccepted/In press - May 20 2016

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Symmetric Markov Process
Rate Function
Heat Kernel
Integral Test
Zero-one Law
Kernel Estimate
Dirichlet Form
Sample Path
Upper and Lower Bounds
Range of data

Keywords

  • Heat kernel estimate
  • Upper (lower) rate function

ASJC Scopus subject areas

  • Analysis

Cite this

Rate Functions for Symmetric Markov Processes via Heat Kernel. / Shiozawa, Yuichi; Wang, Jian.

In: Potential Analysis, 20.05.2016, p. 1-31.

Research output: Contribution to journalArticle

Shiozawa, Yuichi ; Wang, Jian. / Rate Functions for Symmetric Markov Processes via Heat Kernel. In: Potential Analysis. 2016 ; pp. 1-31.
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