4 citations · 5 across the 12 of their papers we have counts for
14 papers
Distortion in the group of locally monotone homeomorphisms of a Cantor set and in the group of generalized interval exchange transformations
Nancy Guelman, Emmanuel Militon
Let f be either a generalized interval exchange transformation or a locally monotone homeomorphism of a Cantor subset of the real line. In this article, we prove that the following…
Almost reducibility, distortion and local perfection for diffeomorphisms of one-manifolds
Hélène Eynard-Bontemps, Emmanuel Militon
In this article, we characterize the distortion elements of the group of smooth diffeomorphisms of the circle and of the group of compactly supported smooth diffeomorphisms of the…
Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi
Emmanuel Militon
We give a new proof of a result by Fathi, which states that, to any homeomorphism of a closed surface which is isotopic to a pseudo-Anosov homeomorphism, we can associate a stable…
Hyperbolic isometries of the fine curve graph of higher genus surfaces
Pierre-Antoine Guihéneuf, Emmanuel Militon
We prove that for a homeomorphism f that is isotopic to the identity on a closed hyperbolic surface, the following are equivalent: * f acts hyperbolically on the fine curve graph;…
Random actions of homeomorphisms of Cantor sets embedded in a line and Tits alternative
Dominique Malicet, Emmanuel Militon
In 2000, Margulis proved that any group of homeomorphisms of the circle either preserves a probabilty measure on the circle or contains a free subgroup in two generators, which is…
Parabolic isometries of the fine curve graph of the torus
Pierre-Antoine Guiheneuf, Emmanuel Militon
In this article we finish the classification of actions of torus homeomorphisms on the fine curve graph initiated by Bowden, Hensel, Mann, Militon, and Webb in \cite{BHMMW}. This i…
Homotopic rotation sets for higher genus surfaces
Pierre-Antoine Guihéneuf, Emmanuel Militon
This paper states a definition of homotopic rotation set for higher genus surface homeomorphisms, as well as a collection of results that justify this definition. We first prove el…
Rotation sets and actions on curves
Jonathan Bowden, Sebastian Hensel, Kathryn Mann +2
We study the action of the homeomorphism group of a surface on the fine curve graph . While the definition of parallels the c…
Groups of smooth diffeomorphisms of Cantor sets embedded in a line
Dominique Malicet, Emmanuel Militon
Let K be a Cantor set embedded in the real line R. Following Funar and Neretin, we define the diffeomorphism group of K as the group of homeomorphisms of K which locally look like…
Distortion and Tits alternative in smooth mapping class groups
Sebastian Hurtado, Emmanuel Militon
In this article, we study the smooth mapping class group of a surface S relative to a given Cantor set, that is the group of isotopy classes of orientation-preserving smooth diffeo…
Conjugacy class of homeomorphisms and distortion elements in groups of homeomorphisms
Emmanuel Militon
Let S be a compact connected surface and let f be an element of the group Homeo\_0(S) of homeomorphisms of S isotopic to the identity. Denote by \tilde{f} a lift of f to the univer…
Actions of groups of homeomorphisms on one-manifolds
Emmanuel Militon
In this article, we describe all the group morphisms from the group of compactly-supported homeomorphisms isotopic to the identity of a manifold to the group of homeomorphisms of t…
Actions of the group of homeomorphisms of the circle on surfaces
Emmanuel Militon
In this article, 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 t…
Distortion elements for surface homeomorphisms
Emmanuel Militon
Let S be a compact orientable surface and f be an element of the group Homeo_{0}(S) of homeomorphisms of S isotopic to the identity. Denote by F a lift of f to the universal cover…