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Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
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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. 13831400. ISSN 01433857

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Official URL: http://dx.doi.org/10.1017/S0143385703000087
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:  01433857 
Official Date:  October 2003 
Volume:  Vol.23 
Number:  No.5 
Page Range:  pp. 13831400 
Identification Number:  10.1017/S0143385703000087 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
References:  [1] J. Aaronson. An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs, 50). American Mathematical Society, Providence, RI, 1997. 
URI:  http://wrap.warwick.ac.uk/id/eprint/771 
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