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Rotation numbers in the infinite annulus
Author(s):
Patrice
Le Calvez
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3221-3230.
MSC (2000):
Primary 37E30, 37E45
Posted:
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.
References:
-
- [Fl]
- M. Flucher, Fixed points of measure preserving torus homeomorphisms, Manuscripta Math., 68 (1990), 271-293. MR 91j:58129
- [Fr1]
- J. Franks, Generalizations of the Poincaré-Birkhoff theorem, Annals of Math., 128 (1988), 139-151. MR 89m:54052
- [Fr2]
- J. Franks, Area preserving homeomorphisms of open surfaces of genus zero, New York J. Math., 2 (1996), 1-19. MR 97c:58123
- [LS]
- P. Le Calvez, A. Sauzet, Une démonstration dynamique du théorème de translation de Brouwer, Expo. Math., 14 (1996), 277-287. MR 97e:54043
- [S]
- S. Schwartzman, Asymptotic cycles, Annals of Math., 68 (1957), 270-284. MR 19:568i
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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:
10.1090/S0002-9939-01-06165-2
PII:
S 0002-9939(01)06165-2
Received by editor(s):
February 23, 2000
Posted:
June 6, 2001
Communicated by:
Michael Handel
Copyright of article:
Copyright
2001,
American Mathematical Society
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