Beatty Sequences, Continued Fractions, and Certain Shift Operators
From MaRDI portal
Publication:4132611
DOI10.4153/CMB-1976-071-6zbMath0359.10028OpenAlexW2334191667MaRDI QIDQ4132611
Publication date: 1976
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cmb-1976-071-6
Recurrences (11B37) Continued fractions and generalizations (11J70) Representation functions (11B34)
Related Items (50)
A decoding problem in dynamics and in number theory ⋮ Certain sequences of Wythoffian matrices, and maximal geometric progressions therein ⋮ Run-hierarchical structure of digital lines with irrational slopes in terms of continued fractions and the Gauss map ⋮ Two equivalence relations on digital lines with irrational slopes. A continued fraction approach to upper mechanical words ⋮ On a generalization of Christoffel words: epichristoffel words ⋮ Almost Beatty Partitions ⋮ Complexity of trajectories in rectangular billiards ⋮ The fractional part of \(n\theta + \phi\) and Beatty sequences ⋮ A generalization of automatic sequences ⋮ Squares and cubes in Sturmian sequences ⋮ Random generation of finite Sturmian words ⋮ \(\alpha\)-words and factors of characteristic sequences ⋮ On the characteristic word of the inhomogeneous Beatty sequence ⋮ Transcendental numbers having explicit $g$-adic and Jacobi-Perron expansions ⋮ A golden iterated map number system: Results and conjectures ⋮ On the conjugation of standard morphisms ⋮ A representation theorem of the suffixes of characteristic sequences ⋮ Unnamed Item ⋮ Some properties of the factors of Sturmian sequences. ⋮ Sur les facteurs des suites de Sturm. (On the factors of the Sturmian sequences.) ⋮ Invertible substitutions and Sturmian sequences. ⋮ The maximal energy of classes of integral circulant graphs ⋮ Unnamed Item ⋮ Frequencies of factors of Sturmian sequences ⋮ Beyond Beatty sequences: Complementary lattices ⋮ Unnamed Item ⋮ Disjoint covering systems of rational Beatty sequences ⋮ Iterated Floor Function, Algebraic Numbers, Discrete Chaos, Beatty Subsequences, Semigroups ⋮ Disjoint covering systems of rational Beatty sequences ⋮ A Simple Proof of a Remarkable Continued Fraction Identity ⋮ On the minimal complexity of infinite words ⋮ Unnamed Item ⋮ Disorder, renormalizability, theta functions and Cornu spirals ⋮ Continued Fractions and Digital Lines with Irrational Slopes ⋮ Description of sequences defined by billiards in the cube ⋮ Substitution invariant Sturmian bisequences ⋮ Positive factors of Wythoff matrices ⋮ A generalization of automatic sequences ⋮ Codings of rotations and continued fractions ⋮ Sturmian words and the permutation that orders fractional parts ⋮ The exact number of squares in Fibonacci words ⋮ Repetitions in Sturmian strings ⋮ Repetitive perhaps, but certainly not boring ⋮ A prelude to the 3x+1 problem ⋮ Substitution invariant cutting sequences ⋮ Wythoff pairs as semigroup invariants ⋮ Generalized Wythoff arrays, shuffles and interspersions ⋮ Applications of standard Sturmian words to elementary number theory ⋮ On low-complexity bi-infinite words and their factors ⋮ Sturmian morphisms and Rauzy's rules
This page was built for publication: Beatty Sequences, Continued Fractions, and Certain Shift Operators
