Discrete approximation of symmetric jump processes on metric measure spaces

作者：Chen Zhen Qing; Kim Panki^*; Kumagai Takashi

来源：Probability Theory and Related Fields, 2013, 155(3-4): 703-749.

DOI：10.1007/s00440-012-0411-x

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

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.

• 出版日期2013-4