Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2014, Volume 14, Number 4, Pages 697–709
DOI: https://doi.org/10.17323/1609-4514-2014-14-4-697-709 (Mi mmj541) 		 
A KAM theorem through Dirichlet's box and Khintchine's transference principles

Abed Bounemoura

CNRS—CEREMADE, Université Paris Dauphine & IMCCE, Observatoire de Paris
Full-text PDF
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2014-14-4-697-709
Abstract: In this paper, we give a new proof of the classical KAM theorem, which avoids small divisors and relies on two basic principles of Diophantine approximation: Dirichlet's box and Khintchine transference principles.
Key words and phrases: KAM theory, Diophantine approximation, Khintchine transference.
Received: March 22, 2013; in revised form June 8, 2014
Bibliographic databases:
Document Type: Article
MSC: 37J25, 37J40, 70H08, 70H09
Language: English
Citation: Abed Bounemoura, “A KAM theorem through Dirichlet's box and Khintchine's transference principles”, Mosc. Math. J., 14:4 (2014), 697–709
Citation in format AMSBIB
\Bibitem{Bou14}
\by Abed~Bounemoura
\paper A KAM theorem through Dirichlet's box and Khintchine's transference principles
\jour Mosc. Math.~J.
\yr 2014
\vol 14
\issue 4
\pages 697--709
\mathnet{http://mi.mathnet.ru/mmj541}
\crossref{https://doi.org/10.17323/1609-4514-2014-14-4-697-709}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3292046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000349324800003}
Linking options:
  • https://www.mathnet.ru/eng/mmj541
  • https://www.mathnet.ru/eng/mmj/v14/i4/p697
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:181
    References:44
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024