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math.DS2012★ 1 cited
A characterization of annularity for area-preserving toral homeomorphisms
Nancy Guelman, Andres Koropecki, Fabio Armando Tal
We prove that if an area-preserving homeomorphism of the torus in the homotopy class of the identity has a rotation set which is a nondegenerate vertical segment containing the ori…
math.DS2012
Smooth Conjugacy classes of circle diffeomorphisms with irrational rotation number
Christian Bonatti, Nancy Guelman
In this paper we prove the -density of every -conjugacy class in the closed subset of diffeomorphisms of the circle with a given irrational rotation number.