C. Bonatti, S. S. Minkov, A. V. Okunev, I. S. Shilin, “A <nobr>$C^1$</nobr> Anosov diffeomorphism with a horseshoe that attracts almost any point”, Funktsional. Anal. i Prilozhen., 2017, Volume 51, Issue 2,Pages <nobr>83

This article is cited in 1 paper

Brief communications

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

C. Bonatti^a, S. S. Minkov^b, A. V. Okunev^c, I. S. Shilin^b

^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.

UDC: 517.938

Received: 16.10.2016

DOI: 10.4213/faa3452