# The Library

### Zero temperature limits of Gibbs equilibrium states for countable Markov shifts

Tools

Kempton, Tom.
(2011)
*Zero temperature limits of Gibbs equilibrium states for countable Markov shifts.*
Journal of Statistical Physics, Vol.143
(No.4).
pp. 795-806.
ISSN 0022-4715

**Full text not available from this repository.**

Official URL: http://dx.doi.org/10.1007/s10955-011-0195-x

## 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: | 0022-4715 |

Official Date: | 2011 |

Volume: | Vol.143 |

Number: | No.4 |

Page Range: | pp. 795-806 |

Identification Number: | 10.1007/s10955-011-0195-x |

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 |

Data sourced from Thomson Reuters' Web of Knowledge

Request changes or add full text files to a record

### Actions (login required)

View Item |