Statistical mechanics on a compact set with $Z^{v}$ action satisfying expansiveness and specification
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- by David Ruelie
- Trans. Amer. Math. Soc. 185 (1973), 237-251
- DOI: https://doi.org/10.1090/S0002-9947-1973-0417391-6
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Abstract:
We consider a compact set $\Omega$ with a homeomorphism (or more generally a ${{\mathbf {Z}}^\nu }$ action) such that expansiveness and Bowen’s specification condition hold. The entropy is a function on invariant probability measures. The pressure (a concept borrowed from statistical mechanics) is defined as function on $\mathcal {C}(\Omega )$—the real continuous functions on $\Omega$. The entropy and pressure are shown to be dual in a certain sense, and this duality is investigated.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 185 (1973), 237-251
- MSC: Primary 28A65; Secondary 82.28, 58F99, 54H20
- DOI: https://doi.org/10.1090/S0002-9947-1973-0417391-6
- MathSciNet review: 0417391