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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Rotation numbers in the infinite annulus


Author: Patrice Le Calvez
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
Published electronically: June 6, 2001
MathSciNet review: 1844997
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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.


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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
Email: lecalvez@math.univ-paris13.fr

DOI: https://doi.org/10.1090/S0002-9939-01-06165-2
Received by editor(s): February 23, 2000
Published electronically: June 6, 2001
Communicated by: Michael Handel
Article copyright: © Copyright 2001 American Mathematical Society