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Topological Entropy of Unimodal Maps

Monotonicity for Quadratic Polynomials

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Real and Complex Dynamical Systems

Part of the book series: NATO ASI Series ((ASIC,volume 464))

Abstract

In Section 1, we give the definition and general properties of the topological entropy of a map f : X→ X where X is a compact (metrizable) space.

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References

  1. J. H. Hubbard, Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz, Topological Methods in Modern Mathematics, A symposium in Honor of John Milnor’s Sixtieth Birthday, Publish or Perish, 1993, pp. 429–465.

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  2. A. Douady, Chirurgie sur les applications holomorphes, Proceedings of the International Congress of Mathematics Berkeley 1986, pp. 724–738.

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  3. L. S. Young, On the prevalence of horseshoes, Trans. A. M. S. 263, 75–88.

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  4. A. Douady and J. H. Hubbard, Etudes dynamiques des polynomes complexes I Fl II (198485), Publ. Math. d’Orsay.

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  5. A. Douady and J. H. Hubbard, On the dynamics of polynomial-like mappings,Ann. Sci. E. N. S. 18 (1985), Paris, 287–343.

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  6. J. Milnor and W. Thurston, On iterated maps of the interval, Springer Lecture Notes 1342 (1988), 465–563.

    MathSciNet  Google Scholar 

  7. S. van Strien, Real bounds in complex dynamics,in this proceedings.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Paris-Sud, Bâtiment 425, 91405, Orsay, France

    Adrien Douady

Authors
  1. Adrien Douady
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Editor information

Editors and Affiliations

  1. Mathematical Institute, The Technical University of Denmark, Building 303, DK-2800, Lyngby, Denmark

    Bodil Branner  & Poul Hjorth  & 

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© 1995 Springer Science+Business Media Dordrecht

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Douady, A. (1995). Topological Entropy of Unimodal Maps. In: Branner, B., Hjorth, P. (eds) Real and Complex Dynamical Systems. NATO ASI Series, vol 464. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8439-5_4

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  • DOI: https://doi.org/10.1007/978-94-015-8439-5_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4565-2

  • Online ISBN: 978-94-015-8439-5

  • eBook Packages: Springer Book Archive

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