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Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
We prove that potentials with summable variations on topologically transitive countable Markov shifts have at most one equilibrium measure. We apply this to multidimensional piecewise expanding maps using their Markov diagrams.
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| Published in: | Ergodic theory and dynamical systems 2003-10, Vol.23 (5), p.1383-1400, Article S0143385703000087 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Citations: | Items that cite this one |
| Online Access: | Get full text |
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| Summary: | We prove that potentials with summable variations on topologically transitive countable Markov shifts have at most one equilibrium measure. We apply this to multidimensional piecewise expanding maps using their Markov diagrams. |
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| ISSN: | 0143-3857 1469-4417 |
| DOI: | 10.1017/S0143385703000087 |