Rate Functions for Symmetric Markov Processes via Heat Kernel

Yuichi Shiozawa; Jian Wang

doi:10.1007/s11118-016-9567-9

Rate Functions for Symmetric Markov Processes via Heat Kernel

Yuichi Shiozawa, Jian Wang

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Pages (from-to)	23-53
Number of pages	31
Journal	Potential Analysis
Volume	46
Issue number	1
DOIs	https://doi.org/10.1007/s11118-016-9567-9
Publication status	Published - Jan 1 2017

Keywords

Heat kernel estimate
Upper (lower) rate function

ASJC Scopus subject areas

Analysis

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10.1007/s11118-016-9567-9

Cite this

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Rate Functions for Symmetric Markov Processes via Heat Kernel

Abstract

Keywords

ASJC Scopus subject areas

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