Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 2, Pages 191–206
DOI: https://doi.org/10.4213/tmf150 (Mi tmf150) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Thermodynamic Formalism and Singular Invariant Measures for Critical Circle Maps

A. A. Dzhalilov

A. Navoi Samarkand State University
Full-text PDF (285 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf150
Abstract: As is well known, the renormalization group transformation in the space of analytic circle homeomorphisms with one cubic critical point and rotation number equal to the “golden section” has a single fixed point $T_0$. We construct the thermodynamic formalism for the critical map $T_0$ and use it to calculate the Hцlder indices for the singular invariant measure of $T_0$.
Keywords: circle homeomorphism, critical point, thermodynamic formalism, Hölder index.
Received: 15.01.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 2, Pages 166–180
DOI: https://doi.org/10.1023/A:1022271903129
Bibliographic databases:
Language: Russian
Citation: A. A. Dzhalilov, “Thermodynamic Formalism and Singular Invariant Measures for Critical Circle Maps”, TMF, 134:2 (2003), 191–206; Theoret. and Math. Phys., 134:2 (2003), 166–180
Citation in format AMSBIB
\Bibitem{Dzh03}
\by A.~A.~Dzhalilov
\paper Thermodynamic Formalism and Singular Invariant Measures for Critical Circle Maps
\jour TMF
\yr 2003
\vol 134
\issue 2
\pages 191--206
\mathnet{http://mi.mathnet.ru/tmf150}
\crossref{https://doi.org/10.4213/tmf150}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2025794}
\zmath{https://zbmath.org/?q=an:1178.37040}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 2
\pages 166--180
\crossref{https://doi.org/10.1023/A:1022271903129}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000181522200003}
Linking options:
  • https://www.mathnet.ru/eng/tmf150
  • https://doi.org/10.4213/tmf150
  • https://www.mathnet.ru/eng/tmf/v134/i2/p191
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:411
    Full-text PDF :203
    References:61
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024