Anosov and Circle Diffeomorphisms

  • João P. Almeida
  • Albert M. Fisher
  • Alberto A. Pinto
  • David A. Rand
Chapter
Part of the Springer Proceedings in Mathematics book series (PROM, volume 1)

Abstract

We present an infinite dimensional space of C1 +  smooth conjugacy classes of circle diffeomorphisms that are C1 +  fixed points of renormalization. We exhibit a one-to-one correspondence between these C1 +  fixed points of renormalization and C1 +  conjugacy classes of Anosov diffeomorphisms.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • João P. Almeida
    • 1
    • 2
    • 3
  • Albert M. Fisher
    • 4
  • Alberto A. Pinto
    • 5
    • 6
  • David A. Rand
    • 7
  1. 1.LIAAD-INESC Porto LAPortoPortugal
  2. 2.Centro de Matemática da Universidade do MinhoBragaPortugal
  3. 3.Departamento de Matemática, Escola Superior de Tecnologia e GestãoInstituto Politécnico de BagançaBragançaPortugal
  4. 4.Departamento de MatemáticaIME-USPSão PauloBrazil
  5. 5.LIAAD-INESC Porto LA e Departamento de Matemática, Faculdade de CiênciasUniversidade do PortoPortoPortugal
  6. 6.Centro de Matemática e Departamento de Matemática e Aplicações, Escola de CiênciasUniversidade do MinhoBragaPortugal
  7. 7.Warwick Systems Biology & Mathematics InstituteUniversity of WarwickCoventryUK

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