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arXiv · 0801.2088

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

Xavier Bressaud·Pascal Hubert·Alejandro Maass
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Abstract

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].

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Xavier Bressaud, Pascal Hubert, Alejandro Maass. 2008-01-14. Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations. https://arxiv.org/abs/0801.2088

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