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Funktsional'nyi Analiz i ego Prilozheniya, 2017, Volume 51, Issue 2, Pages 83–86
DOI: https://doi.org/10.4213/faa3452 (Mi faa3452) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
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DOI: https://doi.org/10.4213/faa3452
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
Received: 16.10.2016
English version:
Functional Analysis and Its Applications, 2017, Volume 51, Issue 2, Pages 144–147
DOI: https://doi.org/10.1007/s10688-017-0176-1
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
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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\jour Funktsional. Anal. i Prilozhen.
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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