Discrete approximation of symmetric jump processes on metric measure spaces
Discrete approximation of symmetric jump processes on metric measure spaces
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DOI：
10.1007/s00440-012-0411-x
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发表时间：
2010-08
影响因子：
2
通讯作者：
Zhen-Qing Chen;P. Kim;T. Kumagai
中科院分区：
文献类型：
--
作者：
Zhen-Qing Chen;P. Kim;T. Kumagai
本文在较温和的条件下，给出了度量度量空间上离散马氏链对对称跳过程的紧性和弱收敛的一般判据。作为应用，我们研究了一大类对称跳跃过程的离散逼近。我们还讨论了我们的结果在随机电导中随机游动的标度极限方面的一些应用。
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.