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Title:
On the almost reducibility for pseudo rotations of the disk
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Abstract:
A pseudo rotation of the disk is an orientation and area preserving diffeomorphism of the 2-disk, preserving globally the boundary, fixing the origin and having no other periodic points than the origin. I is said to be almost reducible if the boundary of its conjugacy class for the smooth topology contains a rigid rotation. In this talk I shall present the following result: a pseudo rotation close enough to the identity (or any rigid rotation) is almost reducible (in the smooth topology). This is a joint work with Artur Avila.
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