Rotation numbers in the infinite annulus
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- by Patrice Le Calvez PDF
- Proc. Amer. Math. Soc. 129 (2001), 3221-3230 Request permission
Abstract:
Using the notion of free transverse triangulation we prove 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.References
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Additional Information
- Patrice Le Calvez
- Affiliation: Laboratoire Analyse, Géométrie et Applications, UMR CNRS 7539, Institut Galilée, Université Paris Nord, 93430 Villetaneuse, France
- MR Author ID: 111345
- Email: lecalvez@math.univ-paris13.fr
- Received by editor(s): February 23, 2000
- Published electronically: June 6, 2001
- Communicated by: Michael Handel
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3221-3230
- MSC (2000): Primary 37E30, 37E45
- DOI: https://doi.org/10.1090/S0002-9939-01-06165-2
- MathSciNet review: 1844997