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arXiv · 1910.03015

Weak mixing for compact Lie extensions of interval exchange transformations

Dmitri Scheglov
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Abstract

We prove that for any compact connected Lie group G and a typical interval exchange transformation T, not isomorphic to a rotation, the skew product of T with a typical G-valued function, constant on the intervals, is weakly mixing.

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Dmitri Scheglov. 2019-10-07. Weak mixing for compact Lie extensions of interval exchange transformations. https://arxiv.org/abs/1910.03015

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