Rate Functions for Symmetric Markov Processes via Heat Kernel

Yuichi Shiozawa, Jian Wang

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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)23-53
Number of pages31
JournalPotential Analysis
Issue number1
Publication statusPublished - Jan 1 2017


  • Heat kernel estimate
  • Upper (lower) rate function

ASJC Scopus subject areas

  • Analysis


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