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Weak mixing for compact Lie extensions of interval exchange\n transformations

2019/10/07 by Dmitri Scheglov, Scheglov, Dmitri
Chemistry · Mathematics · #Chromatography in Natural Products #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1910.03015

openalex publication_date 2019/10/07 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

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

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