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Moscow Mathematical Journal, 2015, Volume 15, Number 1, Pages 107–121
DOI: https://doi.org/10.17323/1609-4514-2015-15-1-107-121 (Mi mmj552) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Hyperbolicity of renormalization of circle maps with a break-type singularity

K. Khanin, M. Yampolsky

Mathematics Department, University of Toronto, 40 St. George Street, Toronto, Ontario, M5S2E4, Canada
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DOI: https://doi.org/10.17323/1609-4514-2015-15-1-107-121
Abstract: We study the renormalization operator of circle homeomorphisms with a break point and show that it possesses a hyperbolic horseshoe attractor.
Key words and phrases: renormalization, universality, circle map with a break point.
Received: April 25, 2014
Bibliographic databases:
Document Type: Article
MSC: Primary 37E20; Secondary 37E10
Language: English
Citation: K. Khanin, M. Yampolsky, “Hyperbolicity of renormalization of circle maps with a break-type singularity”, Mosc. Math. J., 15:1 (2015), 107–121
Citation in format AMSBIB
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\by K.~Khanin, M.~Yampolsky
\paper Hyperbolicity of renormalization of circle maps with a~break-type singularity
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 1
\pages 107--121
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-1-107-121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3427415}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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