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Functional Analysis and Its Applications

, Volume 51, Issue 2, pp 144–147 | Cite as

A C 1 Anosov diffeomorphism with a horseshoe that attracts almost any point

  • C. BonattiEmail author
  • S. S. Minkov
  • A. V. Okunev
  • I. S. Shilin
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Abstract

We present an example of a C 1 Anosov diffeomorphism with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure.

Key words

Anosov diffeomorphism C1-topology physical measure thick horseshoe 

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References

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • C. Bonatti
    • 1
    Email author
  • S. S. Minkov
    • 2
  • A. V. Okunev
    • 3
  • I. S. Shilin
    • 2
  1. 1.Université de BourgogneDijonFrance
  2. 2.Moscow Center of Continuous Mathematical EducationMoscowRussia
  3. 3.National Research University Higher School of EconomicsMoscowRussia

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