4 papers · 1 filter
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems
Xavier Bressaud, Fabien Durand, Alejandro Maass
We give necessary and sufficient conditions to have measurable and continuous eigenfunctions for linearly recurrent Cantor dynamical systems. We also construct explicitly an exampl…
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems
Maria Isabel Cortez, Fabien Durand, Bernard Host +1
The class of linearly recurrent Cantor systems contains the substitution subshifts and some odometers. For substitution subshifts and odometers measure--theoretical and continuous…
Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations
Xavier Bressaud, Pascal Hubert, Alejandro Maass
In this article we prove that given a self-similar interval exchange transformation T, whose associated matrix verifies a quite general algebraic condition, there exists an affine…
Rotation topological factors of minimal $\ZM^{d}$-actions on the cantor set
Maria Isabel Cortez, Jean-Marc Gambaudo, Alejandro Maass
In this paper we study conditions under which a free minimal $\mz^d$-action on the Cantor set is a topological extension of the action of rotations, either on the product $\mt^…