Pivoting technique for the circle homeomorphism group

We adapt Gou{ë}zel's pivoting technique to the circle homeomorphism group. As an application, we give different proofs of Gilabert Vio's probabilistic Tits alternative and Malicet's exponential synchronization.

Publication Details

Journal
ArXiv.org
Published
2025-04-03
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

Pivoting technique for the circle homeomorphism group

ArXiv.org
Mathematical Dynamics and Fractals
article

Pivoting technique for the circle homeomorphism group

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Abstract

We adapt Gou{ë}zel's pivoting technique to the circle homeomorphism group. As an application, we give different proofs of Gilabert Vio's probabilistic Tits alternative and Malicet's exponential synchronization.

ArXiv.org
Openalex Percentile: Top 43%
Mathematical Dynamics and Fractals
Open Access PDFOpenAlex
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Pivoting technique for the circle homeomorphism group · ArXiv.org (2025) | TGRS Research Map | TGRS