Discrete approximation of symmetric jump processes on metric measure spaces

Zhen Qing Chen, Panki Kim*, Takashi Kumagai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

In this paper we give general criteria on tightness and weak convergence of discrete Markov chains to symmetric jump processes on metric measure spaces under mild conditions. As an application, we investigate discrete approximation for a large class of symmetric jump processes. We also discuss some application of our results to the scaling limit of random walk in random conductance.

Original languageEnglish
Pages (from-to)703-749
Number of pages47
JournalProbability Theory and Related Fields
Volume155
Issue number3-4
DOIs
Publication statusPublished - 2013 Apr
Externally publishedYes

Keywords

  • Dirichlet form
  • Jump process
  • Mosco convergence
  • Random conductance
  • Skorohod space
  • Symmetric jump process
  • Tightness
  • Weak convergence

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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