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Symbolic dynamics

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Symbolic Dynamics and Hyperbolic Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1539))

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Bibliography for Chapter 2

  1. R. Bowen et O. E. Lanford, “Zeta functions of restrictions of the shift transformation”, Proc. Symp. Pure Math., vol 14 AMS, 1970, p. 907–918.

    MathSciNet  MATH  Google Scholar 

  2. R. Bowen, “On Axiom A diffeomorphisms”, Regional Conference Series in Mathematics, AMS, 1978.

    Google Scholar 

  3. J. R. Brown, “Ergodic theory and topological dynamics”, Academic Press, 1976.

    Google Scholar 

  4. E. M. Coven, M. E. Paul, “Sofic systems”, Israel J. of Math. 20, 1975, pp. 165–177.

    Article  MathSciNet  MATH  Google Scholar 

  5. M. Denker, C. Grillenberger et K. Sigmund, “Ergodic theory on compact spaces”, Lecture Notes in Mathematics, 66–67, S.M.F. (1979).

    Google Scholar 

  6. A. Fathi, F. Laudenbach and V. Poénaru, “Travaux de thurston sur les surfaces”, Astérisque, vol. 527, Springer Verlag.

    Google Scholar 

  7. R. Fischer, “Sofic systems and graphs”, Monatsh. Math. 80, 1975, pp. 179–186.

    Article  MathSciNet  MATH  Google Scholar 

  8. D. Fried, “Finitely presented dynamical systems,” Erg. th. & Dyn. Syst. 7, 1987, pp. 489–507.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Gromov, “Hyperbolic manifolds, groups and actions”, Ann. of Math. Studies 97, Princeton University Press, 1982, pp. 183–215.

    MathSciNet  Google Scholar 

  10. , “Hyperbolic groups”, in Essays in Group Theory, MSRI publ. 8, Springer, 1987, pp. 75–263.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. Hadamard, “Les surfaces à courbures opposées et leurs lignes géodésiques”, J. de Math. pures et appl. 4, 1898, pp. 27–74.

    MATH  Google Scholar 

  12. G. A. Hedlund, “Endomorphisms and automorphisms of the shift dynamical system”, Math. Syst. Theory 3, 1969, pp. 320–375.

    Article  MathSciNet  MATH  Google Scholar 

  13. W. Hurewicz, H. Wallman, “Dimension theory”, Princeton University Press, 1948.

    Google Scholar 

  14. K. Kuratowski, “Introduction to set theory and topology”, 2nd edition, Pergamon Press, 1972.

    Google Scholar 

  15. A. Manning, “Axiom A diffeomorphisms have rational zeta functions”, Bull. Lon. Math. Soc. 3, 1971, pp. 215–220.

    Article  MathSciNet  MATH  Google Scholar 

  16. E.E. Moise, “Geometry and topology in dimensions 2 and 3”, Springer Verlag, 1977.

    Google Scholar 

  17. S. Smale, “Differentiable dynamical systems”, Bull. Amer. Math. Soc. 73, 1967, pp. 747–817.

    Article  MathSciNet  MATH  Google Scholar 

  18. B. Weiss, “Subshifts of finite type and sofic systems”, Monatsh. Math. 77, 1973, pp. 462–474.

    Article  MathSciNet  MATH  Google Scholar 

  19. P. Walters, “Ergodic theory — Introductory lectures”, Lecture Notes in Mathematics, vol. 458, Springer Verlag.

    Google Scholar 

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© 1993 Springer-Verlag

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Coornaert, M., Papadopoulos, A. (1993). Symbolic dynamics. In: Symbolic Dynamics and Hyperbolic Groups. Lecture Notes in Mathematics, vol 1539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092580

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  • DOI: https://doi.org/10.1007/BFb0092580

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56499-7

  • Online ISBN: 978-3-540-47573-6

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