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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)
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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
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\paper Thermodynamic Formalism and Singular Invariant Measures for Critical Circle Maps
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 2
\pages 166--180
\crossref{https://doi.org/10.1023/A:1022271903129}
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  • 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
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    References:52
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