Buzzi, Jérôme and Sarig, Omri. (2003) Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Ergodic Theory and Dynamical Systems, Vol.23 (No.5). pp. 1383-1400. ISSN 0143-3857

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Abstract

We prove that potentials with summable variations on topologically transitive countable Markov shifts have at most one equilibrium measure. We apply this to multidimensional piecewise expanding maps using their Markov diagrams.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Markov processes, Mappings (Mathematics), Piecewise linear topology, Ergodic theory, Dynamics
Journal or Publication Title:	Ergodic Theory and Dynamical Systems
Publisher:	Cambridge University Press
ISSN:	0143-3857
Date:	October 2003
Volume:	Vol.23
Number:	No.5
Page Range:	pp. 1383-1400
Identification Number:	10.1017/S0143385703000087
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/771

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