科研之友
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摘要
We consider, on a compact manifold, the group of diffeomorphisms that are isotopic to the identity. We show that every recurrent element is a distortion element. To prove this, we generalize a method used by Avila in the case of the group of diffeomorphisms of the circle. The method also provides a new proof of a result by Calegari and Freedman: on a sphere, in the group of homeomorphisms that are isotopic to the identity, every element is distorted.
- 出版日期2013
