A self-dual induction for three-interval exchange transformations
From MaRDI portal
Publication:3643149
DOI10.1080/14689360902889747zbMath1230.37005OpenAlexW2135166158MaRDI QIDQ3643149
Sébastien Ferenczi, Luiz Fernando C. da Rocha
Publication date: 10 November 2009
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689360902889747
Dynamical aspects of measure-preserving transformations (37A05) Continued fractions and generalizations (11J70)
Related Items (6)
Some dynamic properties of the modified negative slope algorithm ⋮ Structure of \(K\)-interval exchange transformations: induction, trajectories, and distance theorems ⋮ Dynamical generalizations of the Lagrange spectrum ⋮ A generalization of the self-dual induction to every interval exchange transformation ⋮ Some ergodic properties of the negative slope algorithm ⋮ Diagonal changes for every interval exchange transformation
Cites Work
- Unnamed Item
- Unnamed Item
- Metrical theory for a class of continued fraction transformations and their natural extensions
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Structure of three-interval exchange transformations. II: A combinatorial description of the trajectories
- Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents
- Structure of three-interval exchange transformations. III: Ergodic and spectral properties
- Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles
- A generalization of the Gauss map and some classical theorems on continued fractions
- Joinings of three-interval exchange transformations
- Interval exchange transformations
- Structure of three interval exchange transformations. I: An arithmetic study
This page was built for publication: A self-dual induction for three-interval exchange transformations
