Coding of a translation of the two-dimensional torus

DOI10.1007/s00605-008-0074-yzbMath1171.37009OpenAlexW2062456323MaRDI QIDQ1027754

Nicolas Chevallier

Publication date: 30 June 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0074-y

zbMATH Keywords

codingirrational translationsimultaneous Diophantiene approximation

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Diophantine approximation in probabilistic number theory (11K60)

Related Items (6)

Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices ⋮ Minoration of the complexity function associated to a translation on the torus ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ Convex polyhedra with deltoidal vertices ⋮ Zero measure spectrum for multi-frequency Schrödinger operators

Cites Work

• Best simultaneous Diophantine approximations of some cubic algebraic numbers
• Ergodic theory on compact spaces
• Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution
• Complexity of Hartman sequences
• Nombres algébriques et substitutions
• Représentation géométrique de suites de complexité $2n+1$
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
• Pisot substitutions and Rauzy fractals
• Bounded remainder sets
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Coding of a translation of the two-dimensional torus