Interval exchanges that do not occur in free groups
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Publication:1932135
DOI10.4171/GGD/173zbMath1268.37044arXiv1007.3940MaRDI QIDQ1932135
Publication date: 17 January 2013
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.3940
Transformation groups and semigroups (topological aspects) (54H15) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving maps of the interval (37E05)
Related Items (4)
Most interval exchanges have no roots ⋮ Uniform perfectness for interval exchange transformations with or without flips ⋮ Discrepancy properties and conjugacy classes of interval exchange transformations ⋮ Groups of interval exchange transformations
Cites Work
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- Continuous interval exchange actions
- Groups of piecewise linear homeomorphisms of the real line
- Groups acting on the circle.
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- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
- Ergodic theory of interval exchange maps
- Free subgroups in linear groups
- Structure of three-interval exchange transformations. III: Ergodic and spectral properties
- Weak mixing for interval exchange transformations and translation flows
- Free subgroups of the homeomorphism group of the circle
- Groups of real-analytic diffeomorphisms of the circle
- The Metric Theory of Interval Exchange Transformations I. Generic Spectral Properties
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