Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces

Details Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces

2010-08-31

arxiv.org/abs/1008.5315v1

Mathematics

Probability

38 pages

Scientific paper

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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