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JOURNALS // Moscow Mathematical Journal // Archive
Mosc. Math. J., 2015 Volume 15, Number 1, Pages 107–121 (Mi mmj552)
This article is cited 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

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.

MSC: Primary 37E20; Secondary 37E10

Received: April 25, 2014

Language: English

DOI: 10.17323/1609-4514-2015-15-1-107-121



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© Steklov Math. Inst. of RAS, 2024