3 papers
math.DS2026
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…
math.DS2025
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…
math.DS2024
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…