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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
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Abstract | References | Similar articles | Additional information

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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[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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