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math.DS2005
Pseudo-rotations of the open annulus
F. Béguin, S. Crovisier, F. Le Roux
In this paper, we study pseudo-rotations of the open annulus, \emph{i.e.} conservative homeomorphisms of the open annulus whose rotation set is reduced to a single irrational numbe…
math.DS2003
Pseudo-rotations of the closed annulus : variation on a theorem of J. Kwapisz
Sylvain Crovisier, Francois Beguin, Frederic Le Roux +1
Consider a homeomorphism h of the closed annulus S^1*[0,1], isotopic to the identity, such that the rotation set of h is reduced to a single irrational number alpha (we say that h…
math.DS2002
Dynamics of surface homeomorphisms Topological versions of the Leau-Fatou flower theorem and the stable manifold theorem
Frederic Le Roux
The study of the dynamics of a surface homeomorphism in the neighbourhood of an isolated fixed point leads us to the following results. If the fixed point index is greater than 1,…