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Zero temperature limits of Gibbs equilibrium states for countable Markov shifts
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Kempton, Tom. (2011) Zero temperature limits of Gibbs equilibrium states for countable Markov shifts. Journal of Statistical Physics, Vol.143 (No.4). pp. 795806. ISSN 00224715
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Official URL: http://dx.doi.org/10.1007/s109550110195x
Abstract
We prove that, given a uniformly locally constant potential f on a countable state Markov shift and suitable conditions which guarantee the existence of the equilibrium states mu(tf) for all t, the measures mu(tf) converge in the weak star topology as t tends to infinity.
Item Type:  Journal Article  

Subjects:  Q Science > QC Physics  
Divisions:  Faculty of Science > Mathematics  
Library of Congress Subject Headings (LCSH):  Equilibrium, Gibbs' equation, Markov processes  
Journal or Publication Title:  Journal of Statistical Physics  
Publisher:  Springer New York LLC  
ISSN:  00224715  
Official Date:  2011  
Dates: 


Volume:  Vol.143  
Number:  No.4  
Page Range:  pp. 795806  
Identification Number:  10.1007/s109550110195x  
Status:  Peer Reviewed  
Publication Status:  Published  
Funder:  Engineering and Physical Sciences Research Council (EPSRC)  
References:  1. Baraviera, A.T., Leplaideur, R., Lopes, A.O.: Selection of measures for a potential with two maxima at 

URI:  http://wrap.warwick.ac.uk/id/eprint/39975 
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