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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 0002-9939 | ||||
Official Date: | 2003 | ||||
Dates: |
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Volume: | 131 | ||||
Number: | 6 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 1751-1758 | ||||
Publication Status: | Published |
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