On Critical Circle Homeomorphisms with Infinite Number of Break Points
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 uni...
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| Main Authors: | Akhtam Dzhalilov, Mohd Salmi Md Noorani, Sokhobiddin Akhatkulov |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/378742 |
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