Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2006, Volume 70, Issue 6, Pages 1093–1116
DOI: https://doi.org/10.1070/IM2006v070n06ABEH002340 (Mi im678) 		 
This article is cited in 19 scientific papers (total in 19 papers)

The regularity of central leaves of partially hyperbolic sets and its applications

A. S. Gorodetski

California Institute of Technology
English version PDF (408 kB) Citations (19)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2006v070n06ABEH002340
Abstract: We consider partially hyperbolic maps which are close to the direct product of a hyperbolic map and an identity map and prove that their central leaves depend Hölder continuously on the base point in the $C^r$-metric. We use this result to construct an open set of diffeomorphisms with rather unusual properties (they have transitive sets with periodic points of different indices and orbits with zero Lyapunov exponent). This paper concludes a series of joint papers with Yu. S. Ilyashenko.
Received: 11.07.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 6, Pages 19–44
DOI: https://doi.org/10.4213/im678
Bibliographic databases:
UDC: 517.938
MSC: 37D30, 37C20
Language: English
Original paper language: Russian
Citation: A. S. Gorodetski, “The regularity of central leaves of partially hyperbolic sets and its applications”, Izv. RAN. Ser. Mat., 70:6 (2006), 19–44; Izv. Math., 70:6 (2006), 1093–1116
Citation in format AMSBIB
\Bibitem{Gor06}
\by A.~S.~Gorodetski
\paper The regularity of central leaves of partially hyperbolic sets
and its applications
\jour Izv. RAN. Ser. Mat.
\yr 2006
\vol 70
\issue 6
\pages 19--44
\mathnet{http://mi.mathnet.ru/im678}
\crossref{https://doi.org/10.4213/im678}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2285025}
\zmath{https://zbmath.org/?q=an:1136.37019}
\elib{https://elibrary.ru/item.asp?id=9433305}
\transl
\jour Izv. Math.
\yr 2006
\vol 70
\issue 6
\pages 1093--1116
\crossref{https://doi.org/10.1070/IM2006v070n06ABEH002340}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000244954500002}
\elib{https://elibrary.ru/item.asp?id=14740957}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947645943}
Linking options:
  • https://www.mathnet.ru/eng/im678
  • https://doi.org/10.1070/IM2006v070n06ABEH002340
  • https://www.mathnet.ru/eng/im/v70/i6/p19
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:543
    Russian version PDF:189
    English version PDF:13
    References:84
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024