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Axiom a diffeomorphisms

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Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 470))

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References

  1. R. Adler and B. Weiss, Similarity of automorphisms of the torus, Memoirs AMS 98 (1970).

    Google Scholar 

  2. D. Anosov, Geodesic flows on closed Riemann manifolds with negative curvature, Proc. Steklov Inst. Math No. 90 (1967).

    Google Scholar 

  3. R. Bowen, Topological entropy and Axiom A, Proc. Symp. in Pure Math. 14 (1970), 23–42.

    Article  MathSciNet  MATH  Google Scholar 

  4. -, Periodic points and measures for Axiom A diffeomorphisms, Trans. AMS 154 (1971), 377–397.

    MathSciNet  MATH  Google Scholar 

  5. -, Markov partitions for Axion A diffeomorphisms, Amer. J. Math 92 (1970), 725–747.

    Article  MathSciNet  MATH  Google Scholar 

  6. R. Bowen, ω-limit sets for Axiom A diffeomorphisms, Jour. Diff. Eqns. 18 (1975).

    Google Scholar 

  7. M. Hirsch, J. Palis, C. Pugh and M. Shub, Neighborhoods of hyperbolic sets, Inventiones Math. 9 (1970), 121–134.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Hirsch and C. Pugh, Stable manifolds and hyperbolic sets, Proc. Symp. in Pure Math. 14 (1970), 133–163.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Morse, Representation of geodesics, Amer. J. Math. 43 (1921), 35–51.

    Article  MathSciNet  Google Scholar 

  10. Ya. Sinai, Markov partitions and C-diffeomorphisms, Func. Anal. and its Appl. 2 (1968), no.1, 64–89.

    MathSciNet  MATH  Google Scholar 

  11. -, Construction of Markov partitions, Func. Anal. and its Appl. 2 (1968), no. 2, 70–80.

    MathSciNet  MATH  Google Scholar 

  12. -, Gibbs measures in ergodic theory, Russ. Math. Surveys 166 (1972), 21–69.

    Article  MathSciNet  MATH  Google Scholar 

  13. S. Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology, Princeton 1965, 63–80.

    Google Scholar 

  14. -Differentiable dynamical systems, Bull. A.M.S. 73 (1967), 747–817.

    Article  MathSciNet  MATH  Google Scholar 

  15. -, The Ω-stability theorem, Proc. Symp. in Pure Math. 14 (1970), 289–298.

    Article  MathSciNet  Google Scholar 

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Authors
  1. Prof. Rufus Bowen
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© 1975 Springer-Verlag

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Bowen, R. (1975). Axiom a diffeomorphisms. In: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Mathematics, vol 470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081283

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  • DOI: https://doi.org/10.1007/BFb0081283

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07187-7

  • Online ISBN: 978-3-540-37534-0

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