Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations

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 interval exchange transformation with wandering intervals that is semi-conjugated to it. That is, in this context the existence of Denjoy counterexamples occurs very often, generalizing the result of M. Cobo in [C].

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Xavier Bressaud, Pascal Hubert, Alejandro Maass
• Keywords: Affine Interval Exchange, CORR 2008, Education, Interval Exchange Transformation, Self-similar Interval Exchange