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math.DS2008
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…
math.DS2008
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…