Rigidity of square-tiled interval exchange transformations
From MaRDI portal
Publication:2000073
DOI10.3934/jmd.2019006zbMath1422.37028arXiv1702.05989OpenAlexW2601243087WikidataQ128101374 ScholiaQ128101374MaRDI QIDQ2000073
Sébastien Ferenczi, Pascal Hubert
Publication date: 27 June 2019
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.05989
Measure-preserving transformations (28D05) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)
Related Items (max. 100)
Arnoux-Rauzy interval exchanges ⋮ Rigidity of generalized Veech 1969/Sataev 1975 extensions of rotations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Hausdorff dimension and cusp excursions for Fuchsian groups
- A generalization of the self-dual induction to every interval exchange transformation
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Structure of \(K\)-interval exchange transformations: induction, trajectories, and distance theorems
- Non topologically weakly mixing interval exchanges
- Ergodic measure preserving transformations with arbitrary finite spectral multiplicities
- Ergodicity of billiard flows and quadratic differentials
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- A criterion for a process to be prime
- Measure-theoretic complexity of ergodic systems
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Covering numbers of rotations
- Translation surfaces and their orbit closures: an introduction for a broad audience
- Weak mixing for interval exchange transformations and translation flows
- Billiards in regular 2n -gons and the self-dual induction
- Dynamics of self-similar interval exchange transformations on three intervals
- Flows with Ratner’s property have discrete essential centralizer
- Échanges d'intervalles et transformations induites
- Beyond Sturmian sequences: coding linear trajectories in the regular octagon
- Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore
- Density of mild mixing property for vertical flows of Abelian differentials
- The Metric Theory of Interval Exchange Transformations I. Generic Spectral Properties
- Boshernitzan's criterion for unique ergodicity of an interval exchange transformation
- Rank two interval exchange transformations
- A Transformation with Simple Spectrum which is not Rank One
- The spectral multiplicity function and geometric representations of interval exchange transformations
- Systems of finite rank
- Mild mixing of certain interval-exchange transformations
- Geometrical Models for Substitutions
- Eigenvalues and simplicity of interval exchange transformations
- APPROXIMATIONS IN ERGODIC THEORY
- Joinings of three-interval exchange transformations
- Weak mixing directions in non-arithmetic Veech surfaces
- Interval exchange transformations
- Covering numbers: Arithmetics and dynamics for rotations and interval exchanges
This page was built for publication: Rigidity of square-tiled interval exchange transformations