Markov chain perturbations of a class of partially expanding attractors

Liu, Peidong
Zheng, Yan

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Publication date

January 2006

DOI

10.1142/S0219493706001761

Publisher

stochastics and dynamics

ISSN

0219-4937

Journal

issn:0219-4937

Abstract

In this paper Markov chain perturbations of a class of partially expanding attractors of a diffeomorphism axe considered. We show that, under some regularity conditions on the transition probabilities, the zero-noise limits of stationary measures of the Markov chains are Sinai-Ruelle-Bowen measures of the diffeomorphism on the attractors.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000240860000004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Statistics & ProbabilitySCI(E)0ARTICLE3341-354

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Markov chain perturbations of a class of partially expanding attractors

Abstract

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Markov chain perturbations of a class of partially expanding attractors

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