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2014 On Critical Circle Homeomorphisms with Infinite Number of Break Points
Akhtam Dzhalilov, Mohd Salmi Md Noorani, Sokhobiddin Akhatkulov
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/378742

Abstract

We prove that a critical circle homeomorphism with infinite number of break points without periodic orbits is conjugated to the linear rotation by a quasisymmetric map if and only if its rotation number is of bounded type. And we also prove that any two adjacent atoms of dynamical partition of a unit circle are comparable.

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Akhtam Dzhalilov. Mohd Salmi Md Noorani. Sokhobiddin Akhatkulov. "On Critical Circle Homeomorphisms with Infinite Number of Break Points." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/378742

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 1350.37047
MathSciNet: MR3186962
Digital Object Identifier: 10.1155/2014/378742

Rights: Copyright © 2014 Hindawi

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