20 citations · 44 across the 16 of their papers we have counts for
21 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…
Some elementary amenable subgroups of interval exchange transformations
Nancy Guelman, Isabelle Liousse
In this paper, we study a family of finitely generated elementary amenable iet-groups. These groups are generated by finitely many rationals iets and rotations. For them, we state…
Interval Exchange Transformations groups. Free actions and dynamics of virtually abelian groups
Nancy Guelman, Isabelle Liousse
Hölder's theorem states that any group acting freely by circle homeomorphisms is abelian, this is no longer true for interval exchange transformations: we first give examples of fr…
Uniform simplicity for subgroups of piecewise continuous bijections of the unit interval
Nancy Guelman, Isabelle Liousse, Pierre Arnoux
Let and [resp. ] be the quotient group of the group of all piecewise continuous [resp. piecewise continuous and orientation preservin…
Uniqueness of minimal unstable lamination for discretized Anosov flows
Nancy Guelman, Santiago Martinchich
We consider the class of partially hyperbolic diffeomorphisms obtained as the discretization of topological Anosov flows. We show uniqueness of minimal unstable laminati…
Uniform perfectness for Interval Exchange Transformations with or without Flips
Nancy Guelman, Isabelle Liousse
Let be the group of all Interval Exchange Transformations. Results of Arnoux-Fathi ([Arn81b]), Sah ([Sah81]) and Vorobets ([Vor17]) state that the subgr…