éléments de distorsion du groupe des difféomorphismes isotopes à l'identité d'une variété compacte

Emmanuel Militon (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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.

Domaines: Systèmes dynamiques [math.DS]

Emmanuel Militon. éléments de distorsion du groupe des difféomorphismes isotopes à l'identité d'une variété compacte. 2010. ⟨hal-00482135v1⟩