On Critical Circle Homeomorphisms with Infinite Number of Break Points

Akhtam Dzhalilov, Mohd Salmi Md Noorani and Sokhobiddin Akhatkulov

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:378742

DOI: 10.1155/2014/378742

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