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Izvestiya: Mathematics, 2012, Volume 76, Issue 1, Pages 94–112
DOI: https://doi.org/10.1070/IM2012v076n01ABEH002576 (Mi im4262) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Piecewise-smooth circle homeomorphisms with several break points

A. A. Dzhalilova, D. Mayerb, U. A. Safarova

a A. Navoi Samarkand State University
b Institut für Theoretische Physik
English version PDF (322 kB) Citations (20)
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DOI: https://doi.org/10.1070/IM2012v076n01ABEH002576
Abstract: We prove that the invariant probability measure of an ergodic piecewise-smooth circle homeomorphism with several break points and the product of the jumps at break points non-trivial is singular with respect to Lebesgue measure.
Keywords: circle homeomorphism, rotation number, invariant measure.
Received: 20.11.2009
Revised: 07.12.2010
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 1, Pages 101–120
DOI: https://doi.org/10.4213/im4262
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 37E10, 37C40, 37C15, 37E45
Language: English
Original paper language: Russian
Citation: A. A. Dzhalilov, D. Mayer, U. A. Safarov, “Piecewise-smooth circle homeomorphisms with several break points”, Izv. RAN. Ser. Mat., 76:1 (2012), 101–120; Izv. Math., 76:1 (2012), 94–112
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2012v076n01ABEH002576
  • https://www.mathnet.ru/eng/im/v76/i1/p101
    • This publication is cited in the following 20 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
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    Abstract page:623
    Russian version PDF:212
    English version PDF:21
    References:79
    First page:17
     
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