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Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations
Published 14 Jan 2008 in math.DS, cs.IT, and math.IT | (0801.2088v1)
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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