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Currently displaying 1 – 2 of 2

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Éléments de distorsion de ${Diff}_{0}^{\infty} (M)$

Emmanuel Militon — 2013

Bulletin de la Société Mathématique de France

Dans cet article, on montre que, dans le groupe ${Diff}_{0}^{\infty} (M)$ des difféomorphismes isotopes à l’identité d’une variété compacte $M$ , tout élément récurrent est de distorsion. Pour ce faire, on généralise une méthode de démonstration utilisée par Avila pour le cas de ${Diff}_{0}^{\infty} (𝕊^{1})$ . La méthode nous permet de retrouver un résultat de Calegari et Freedman selon lequel tout homéomorphisme de la sphère isotope à l’identité est un élément de distorsion.

Actions of the group of homeomorphisms of the circle on surfaces

Emmanuel Militon — 2016

Fundamenta Mathematicae

We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.

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