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, issue 1
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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https://doi.org/10.1155/2014/378742
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:378742
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