Trajectories of rotations

DOI10.4064/aa-87-3-209-217zbMath0921.11033OpenAlexW78255208MaRDI QIDQ4238827

Pierre Arnoux, Sébastien Ferenczi, Pascal Hubert

Publication date: 29 September 1999

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207216

zbMATH Keywords

continued fractionSturmian sequencescombinatorics on wordsOstrowski algorithm

Mathematics Subject Classification ID

Combinatorics on words (68R15) Continued fractions and generalizations (11J70) Special sequences and polynomials (11B83)

Related Items (12)

Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions ⋮ Two equivalence relations on digital lines with irrational slopes. A continued fraction approach to upper mechanical words ⋮ Transcendence of numbers with a low complexity expansion ⋮ Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers ⋮ Rigidity of generalized Veech 1969/Sataev 1975 extensions of rotations ⋮ Matrices of 3-iet preserving morphisms ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ On trigonometric skew-products over irrational circle-rotations ⋮ A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers ⋮ On the partitions with Sturmian-like refinements ⋮ Covering numbers: Arithmetics and dynamics for rotations and interval exchanges ⋮ On powers of words occurring in binary codings of rotations

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