On critical circle homeomorphisms with infinite number of break points (Q1723964)
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scientific article; zbMATH DE number 7022260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On critical circle homeomorphisms with infinite number of break points |
scientific article; zbMATH DE number 7022260 |
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On critical circle homeomorphisms with infinite number of break points (English)
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14 February 2019
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Summary: 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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infinite number of break points
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dynamical partition
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rotation number
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