%0 Journal Article
%T ¨¦l¨¦ments de distorsion du groupe des diff¨¦omorphismes isotopes ¨¤ l'identit¨¦ d'une vari¨¦t¨¦ compacte
%A Emmanuel Militon
%J Mathematics
%D 2010
%I arXiv
%X We consider, on a compact manifold, the group of diffeomorphisms that are isotopic to the identity. We show that every recurrent element is a distorsion element. This generalizes Avila's theorem on circle diffeomorphisms. 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.
%U http://arxiv.org/abs/1005.1765v2