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Discrete approximation of symmetric jump processes on metric measure spaces |
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| Authors: | Zhen-Qing Chen Panki Kim Takashi Kumagai |
| Institution: | 1. Department of Mathematics, University of Washington, Seattle, WA, 98195, USA 2. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Building 27, 1 Gwanak-ro, Gwanak-gu, Seoul, 151-747, Republic of Korea 3. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan |
| 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. |
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