Conservation property of symmetric jump processes
type: Item
instance of: scholarly article
title: Conservation property of symmetric jump processes
zbMATH Open document ID: 1230.60090
DOI: 10.1214/09-AIHP368
author: Jun Masamune
author: Toshihiro Uemura
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2011-10-11T00:00:00Z
full work available at URL: https://eudml.org/doc/242295
review text: The authors consider a conservation property of jump stochastic processes. The main result of the paper indicates that even if the volume grows rapidly the jump process should stay in the space under some conditions imposed on the frequency of jumps. Among examples of processes satisfying the propose dassumptions are processes with finite range jumping kernels or symmetric stable line jumping kernels and continuous time Markov chains. The line of reasoning is based on a perturbation method [\textit{R. L. Schilling} and \textit{T. Uemura}, Tohoku Math. J. (2) 59, No. 3, 401--422 (2007; Zbl 1141.31006)].
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 60J27
Mathematics Subject Classification ID: 60H20
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 5956521
zbMATH Keywords: jump processes
zbMATH Keywords: conservation property
zbMATH Keywords: perturbation method
reviewed by: Andrzej Świerniak
MaRDI profile type: Publication
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OpenAlex ID: W2059519723
description: scientific article; zbMATH DE number 5956521