33 citations · 42 across the 9 of their papers we have counts for
5 papers · 2 filters
Constant-length substitutions and countable scrambled sets
François Blanchard, Fabien Durand, Alejandro Maass
In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of Li-Yorke…
Limit laws of entrance times for low complexity Cantor minimal systems
Fabien Durand, Alejandro Maass
This paper is devoted to the study of limit laws of entrance times to cylinder sets for Cantor minimal systems of zero entropy using their representation by means of ordered Bratte…
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…