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Existence of Gibbs measures for countable Markov shifts
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UNSPECIFIED (2003) Existence of Gibbs measures for countable Markov shifts. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 131 (6). pp. 1751-1758. ISSN 0002-9939
Full text not available from this repository.Abstract
We prove that a potential with summable variations and finite pressure on a topologically mixing countable Markov shift has a Gibbs measure iff the transition matrix satisfies the big images and preimages property. This strengthens a result of D. Mauldin and M. Urbanski (2001) who showed that this condition is sufficient.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Publisher: | AMER MATHEMATICAL SOC |
| ISSN: | 0002-9939 |
| Date: | 2003 |
| Volume: | 131 |
| Number: | 6 |
| Number of Pages: | 8 |
| Page Range: | pp. 1751-1758 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10028 |
Data sourced from Thomson Reuters' Web of Knowledge
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