Discrete approximation of symmetric jump processes on metric measure spaces
type: Item
instance of: scholarly article
title: Discrete approximation of symmetric jump processes on metric measure spaces
zbMATH Open document ID: 1274.60238
author: Zhen-Qing Chen
author: Panki Kim
author: Takashi Kumagai
publication date: 2013-05-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1008.5315
review text: From the text: ``The paper is concerned with the following two questions. (Q1) Given a symmetric Hunt process \(X\) on \(\mathbb R^d\), can it be approximated by a sequence of symmetric Markov chains \(X^{(k)}\) on \(k^{-1}\mathbb Z^d\)? (Q2) For a sequence \(\{ X^{(k)}:\;k\geq 1\}\) of symmetric Markov chains on \(k^{-1}\mathbb Z^d\), when does \(X^{(k)}\) converge weakly to a `nice' Hunt process \(X\) on \(\mathbb R^d\), as \(k\to \infty\)? In this paper, we address these two questions for symmetric processes \(X\) of pure jump type on a general metric space \(E\)''.
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 60G52
zbMATH DE Number: 6162379
zbMATH Keywords: weak convergence
zbMATH Keywords: Mosco convergence
zbMATH Keywords: Skorohod space
zbMATH Keywords: Dirichlet form
zbMATH Keywords: symmetric jump process
MaRDI profile type: Publication
OpenAlex ID: W2121480276
arXiv ID: 1008.5315
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DOI: 10.1007/S00440-012-0411-X
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article