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Dynamical Systems pp 617–625Cite as

Equilibrium states and weighted uniform distribution of closed orbits

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1342))

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References

  1. R. Bowen, The equidistribution of closed geodesics. Amer. J. Math. 94, (1972), 1–30.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Bowen and D. Ruelle, The ergodic theory of Axiom A flows. Invent. Math. 29 (1975) 181–202.

    Article  MathSciNet  MATH  Google Scholar 

  3. J.H. Hannay and A.M. Ozorio Almeida, Periodic orbits and a correlation function for the semi-classical density of states J. Phys. A: Math. Gen. 17 (1984) 3429–3440.

    Article  Google Scholar 

  4. W. Parry, Synchronisation of canonical measures for hyperbolic attractors. Commun. Math. Phys. 106 (1986) 267–275.

    Article  MathSciNet  MATH  Google Scholar 

  5. W. Parry, Bowen’s equidistribution theory and the Dirichlet density theorem. Ergodic Theory and Dynamical Systems 4. (1984) 117–134.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. Pollicott, A complex Ruelle-Perron-Frobenius theorem and two counter examples. Ergodic Theory and Dynamical Systems 4 (1984) 135–146.

    Article  MathSciNet  MATH  Google Scholar 

  7. D. Ruelle, Thermodynamic Formalism. Addison-Wesley Reading (1978).

    MATH  Google Scholar 

  8. Ja. G. Sinai, Gibbs measures in Ergodic Theory. Uspehi Mat. Nauk 27 No. 4, (1972) 21–69 = Russian Math. Surveys 27, No. 4, (1972), 21–69.

    MathSciNet  MATH  Google Scholar 

  9. N. Wiener, The Fourier Integral and certain of its applications. C.U.P. Cambridge, 1933.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics Institute, University of Warwick, CV4 7AL, Coventry

    William Parry

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  1. William Parry
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James C. Alexander

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© 1988 Springer-Verlag

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Parry, W. (1988). Equilibrium states and weighted uniform distribution of closed orbits. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082850

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  • DOI: https://doi.org/10.1007/BFb0082850

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50174-9

  • Online ISBN: 978-3-540-45946-0

  • eBook Packages: Springer Book Archive

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