Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces
Probability
2010-09-01 v1
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.
Keywords
Cite
@article{arxiv.1008.5315,
title = {Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces},
author = {Zhen-Qing Chen and Panki Kim and Takashi Kumagai},
journal= {arXiv preprint arXiv:1008.5315},
year = {2010}
}
Comments
38 pages