Some inequalities related to transience and recurrence of Markov processes and their applications
type: Item
instance of: scholarly article
title: Some inequalities related to transience and recurrence of Markov processes and their applications
zbMATH Open document ID: 1208.60078
author: Daehong Kim
author: Yoichi Oshima
published in: Journal of Theoretical Probability
publication date: 2010-04-23T00:00:00Z
review text: Using the technique of Dirichlet forms, the author obtained a new conditions of transience and recurrence of irreducible \(m\)-symmetric Markov process on a locally compact separable metric space. The author identifies the connection these conditions with Harris recurrent too. The proved evolutions are applied to investigation of transient and recurrent of closed sets \(F\) relative to special constructed diffusion processes. The sufficient conditions are formulated in regard to complement of sets \(F\). The effectiveness of the proved criterions are confirmed by examples for a symmetric Markov processes on compact Riemannian manifolds.
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 5700613
zbMATH Keywords: Symmetric Markov process
zbMATH Keywords: regular Dirichlet form
zbMATH Keywords: recurrent set
zbMATH Keywords: transient set
zbMATH Keywords: Harris recurrent
zbMATH Keywords: diffusion process
reviewed by: Vitalii A. Gasanenko
MaRDI profile type: Publication
full work available at URL: s10959-008-0196-0
OpenAlex ID: W2089026394
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DOI: 10.1007/S10959-008-0196-0
description: scientific article; zbMATH DE number 5700613