Relations with a fixed interval exchange transformation

DOI10.1007/s10711-023-00868-xarXiv2204.02456MaRDI QIDQ6183143

Magali Jay

Publication date: 26 January 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02456

zbMATH Keywords

interval exchange transformationsaffine interval exchange transformationsfree group of rank 2

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General groups of measure-preserving transformations (28D15) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• Some remarks concerning an example of a minimal, non-uniquely ergodic interval exchange transformation
• A 'minimal', non-uniquely ergodic interval exchange transformation
• Non-ergodic interval exchange transformations
• On the commutator group of the group of interval exchange transformations
• Ergodic theory of interval exchange maps
• Free groups of interval exchange transformations are rare
• Subgroup of interval exchanges generated by torsion elements and rotations
• Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore
• ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES
• APPROXIMATIONS IN ERGODIC THEORY
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2
• Interval exchange transformations

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