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Equilibrium states

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Part of the Lecture Notes in Mathematics book series (LNM,volume 468)

Keywords

  • Finite Type
  • Topological Entropy
  • Borel Probability Measure
  • Markov Partition
  • Compact Metrisable Space

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References

  1. R. Bowen, Markov partitions for Axiom A diffeomorphisms, Amer. J. Math., 92 (1970) 725–747.

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  2. R. Bowen, Some systems with unique equilibrium states, Math. Systems Theory, 8 (1974).

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  3. R. Bowen, Bernoulli equilibrium states for Axiom A diffeomorphisms, to appear.

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  4. F. Ledrappier, Principe varationel et systèmes dynamiques symboliques, to appear.

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  5. D. Ruelle, Statistical mechanics of a one-dimensional lattice gas, Comm. Math. Phys., 9 (1968) 267–278.

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  6. D. Ruelle, Statistical mechanics on a compact set with ZV action satisfying expansiveness and specification, Trans. Amer. Math. Soc., 185 (1973) 237–251.

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  7. Ya. G. Sinai, Markov partitions and C-diffeomorphisms, Func. Anal. and its Appl., 2 (1968) 64–89.

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  8. Ya. G. Sinai, Gibbs measures in ergodic theory, Russian Math. surveys, 27 no. 4 (1972) 21–69.

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  9. P. Walters, A variational principle for the pressure of continuous transformations, Amer. J. Math., to appear.

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© 1975 Springer-Verlag

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Walters, P. (1975). Equilibrium states. In: Manning, A. (eds) Dynamical Systems—Warwick 1974. Lecture Notes in Mathematics, vol 468. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082590

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  • DOI: https://doi.org/10.1007/BFb0082590

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07184-6

  • Online ISBN: 978-3-540-37525-8

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