Interval exchange transformations over algebraic number fields: the cubic Arnoux–Yoccoz model
From MaRDI portal
Publication:3436057
DOI10.1080/14689360601028126zbMath1128.37026OpenAlexW2011040358MaRDI QIDQ3436057
Guillaume Poggiaspalla, Franco Vivaldi, J. H. Lowenstein
Publication date: 8 May 2007
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689360601028126
Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)
Related Items (9)
New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant ⋮ Triangle Tiling Billiards and the Exceptional Family of their Escaping Trajectories: Circumcenters and Rauzy Gasket ⋮ Infinitely many lattice surfaces with special pseudo-Anosov maps ⋮ Tiling billards on triangle tilings, and interval exchange transformations ⋮ Scaling dynamics of a cubic interval-exchange transformation ⋮ Characterization of minimal sequences associated with self-similar interval exchange maps ⋮ Rel leaves of the Arnoux-Yoccoz surfaces ⋮ Geometrical Models for Substitutions ⋮ Wandering intervals in affine extensions of self-similar interval exchange maps: the cubic Arnoux–Yoccoz map
Cites Work
- Substitutions in dynamics, arithmetics and combinatorics
- On Rauzy fractal
- An extension of Lagrange's theorem to interval exchange transformations over quadratic fields
- Prefix-suffix automaton associated with a primitive substitution
- A theorem on the Markov periodic approximation in ergodic theory
- Nombres algébriques et substitutions
- The Metric Theory of Interval Exchange Transformations III. The Sah-Arnoux-Fathi Invariant
- Représentation géométrique de suites de complexité $2n+1$
- Geometric realizations of substitutions
- Quadratic rational rotations of the torus and dual lattice maps
- Recursive tiling and geometry of piecewise rotations by /7
- Sticky orbits in a kicked-oscillator model
This page was built for publication: Interval exchange transformations over algebraic number fields: the cubic Arnoux–Yoccoz model
