On the expansions of real numbers in two integer bases

DOI10.5802/AIF.3134zbMath1433.11004arXiv1512.06935OpenAlexW2963416450MaRDI QIDQ4557604

Dong Han Kim, Yann Bugeaud

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06935

zbMATH Keywords

complexitycontinued fractionSturmian wordcombinatorics on wordsinteger base expansion

Mathematics Subject Classification ID

Combinatorics on words (68R15) Radix representation; digital problems (11A63)

Related Items (1)

ON THE EXPANSIONS OF REAL NUMBERS IN TWO MULTIPLICATIVELY DEPENDENT BASES

Cites Work

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• On the expansions of a real number to several integer bases
• Linear equations in variables which lie in a multiplicative group
• Automatic Sequences
• A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers
• ON THE EXPANSIONS OF REAL NUMBERS IN TWO MULTIPLICATIVELY DEPENDENT BASES
• Symbolic Dynamics II. Sturmian Trajectories

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