Discrete approximation of symmetric jump processes on metric measure spaces

• 成果类型: Article
• 署名作者: Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
• 署名单位: University of Washington; University of Washington Seattle; Seoul National University (SNU); Seoul National University (SNU); Kyoto University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-012-0411-x
• 发表日期: 2013
• 页码: 703-749
• 关键词: markov-chain approximations; WEAK-CONVERGENCE; dirichlet forms

摘要

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.