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Entropy and the fundamental group

Part of the Lecture Notes in Mathematics book series (LNM,volume 668)

Keywords

  • Fundamental Group
  • Topological Entropy
  • Small Cardinality
  • Smooth Dynamical System
  • Rectifiable Curve

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References

  1. R. Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans. Amer. Math. Soc. 153(1971), 401–414 and 181(1973), 509–510.

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  2. A. Manning, Topological entropy and the first homology group, Springer Lecture Notes in Math. 468, 185–190.

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  3. M. Misiurewicz and F. Przytycki, Entropy conjecture for tori, preprint.

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  4. R. Plykin, Sources and sinks for A-diffeomorphisms, Math. USSR Sbornik 23(1974), 233–253.

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  5. W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, preprint.

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  6. J. Wolf, Growth of finitely generated solvable groups and curvature of Riemannian manifolds, Jour. Diff. Geom. 2(1968), 421–446.

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© 1978 Springer-Verlag

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Bowen, R. (1978). Entropy and the fundamental group. In: Markley, N.G., Martin, J.C., Perrizo, W. (eds) The Structure of Attractors in Dynamical Systems. Lecture Notes in Mathematics, vol 668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101777

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  • DOI: https://doi.org/10.1007/BFb0101777

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08925-4

  • Online ISBN: 978-3-540-35751-3

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