Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces
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چکیده
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. AMS 2010 Mathematics Subject Classification: Primary 60B10, 60J25; Secondary 60J35, 60G52, 60J75.
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تاریخ انتشار 2011