Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (146 kB) Citations (1)
References:
PDF
HTML
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
\Bibitem{BonMinOku17}
\by C.~Bonatti, S.~S.~Minkov, A.~V.~Okunev, I.~S.~Shilin
\paper A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point
\jour Funktsional. Anal. i Prilozhen.
\yr 2017
\vol 51
\issue 2
\pages 83--86
\mathnet{http://mi.mathnet.ru/faa3452}
\crossref{https://doi.org/10.4213/faa3452}
\elib{https://elibrary.ru/item.asp?id=29106593}
\transl
\jour Funct. Anal. Appl.
\yr 2017
\vol 51
\issue 2
\pages 144--147
\crossref{https://doi.org/10.1007/s10688-017-0176-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403405500006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85020813296}
Linking options:
  • https://www.mathnet.ru/eng/faa3452
  • https://doi.org/10.4213/faa3452
  • https://www.mathnet.ru/eng/faa/v51/i2/p83
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:358
    Full-text PDF :49
    References:54
    First page:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024