Symmetric jump processes: Localization, heat kernels and convergence

Richard F. Bassa, Moritz Kassmannb, Takashi Kumagaic

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

We consider symmetric processes of pure jump type. We prove local estimates on the probability of exiting balls, the Hölder continuity of harmonic functions and of heat kernels, and convergence of a sequence of such processes.

Original languageEnglish
Pages (from-to)59-71
Number of pages13
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume46
Issue number1
DOIs
Publication statusPublished - 2010 Feb
Externally publishedYes

Keywords

  • Dirichlet forms
  • Harnack inequalities
  • Heat kernels
  • Non-local operators
  • Symmetric jump processes
  • Weak convergence

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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