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Funktsional. Anal. i Prilozhen., 2017, Volume 51, Issue 2, Pages 83–86 (Mi faa3452)  

Brief communications

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

C. Bonattia, S. S. Minkovb, A. V. Okunevc, I. S. Shilinb

a Université de Bourgogne, Dijon, France
b Moscow Center for Continuous Mathematical Education, Moscow, Russia
c National Research University Higher School of Economics, Moscow, Russia

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.

Keywords: Anosov diffeomorphism, $C^1$-topology, physical measure, thick horseshoe.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00748-a


DOI: https://doi.org/10.4213/faa3452

Full text: PDF file (146 kB)
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English version:
Functional Analysis and Its Applications, 2017, 51:2, 144–147

Bibliographic databases:

UDC: 517.938
Received: 16.10.2016

Citation: C. Bonatti, S. S. Minkov, A. V. Okunev, I. S. Shilin, “A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point”, Funktsional. Anal. i Prilozhen., 51:2 (2017), 83–86; Funct. Anal. Appl., 51:2 (2017), 144–147

Citation in format AMSBIB
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\paper A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point
\jour Funktsional. Anal. i Prilozhen.
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\vol 51
\issue 2
\pages 83--86
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  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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