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Existence of Gibbs measures for countable Markov shifts |
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| Authors: | Omri Sarig |
| Affiliation: | Mathematics Institute, University of Warwick, Coventry CV4 7AL, England |
| 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. |
| Keywords: | Gibbs measures countable Markov shifts thermodynamic formalism |
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