Rotation numbers in the infinite annulus (Q2731914)
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scientific article; zbMATH DE number 1626789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rotation numbers in the infinite annulus |
scientific article; zbMATH DE number 1626789 |
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Rotation numbers in the infinite annulus (English)
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30 July 2001
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rotation numbers
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infinite annulus
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free transverse triangulation
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probability measure
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The paper deals with rotation numbers in the infinite annulus. It is well-known that in the case of a homeomorphism of the open annulus the existence of the rotation number is more complicated. First of all, the existence of a rotation number for a point is not stable by conjugacy. The author presents the notion of free transverse triangulation and using this proves that the rotation number of a given probability measure invariant by a homeomorphism of the open annulus depends continuously on the homeomorphism under some boundedness conditions.
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