Affine Interval Exchange Transformations with Flips and Wandering Intervals
نویسندگان
چکیده
There exist uniquely ergodic affine interval exchange transformations of [0,1] with flips having wandering intervals and such that the support of the invariant measure is a Cantor set.
منابع مشابه
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(λ,π), 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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