A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers
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Publication:4645117
DOI10.1090/tran/7378zbMath1409.68224arXiv1510.00279OpenAlexW2963626586MaRDI QIDQ4645117
Publication date: 10 January 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.00279
Combinatorics on words (68R15) Measures of irrationality and of transcendence (11J82) Radix representation; digital problems (11A63)
Related Items (10)
How to prove that a sequence is not automatic ⋮ On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations ⋮ Synchronized sequences ⋮ On the expansions of real numbers in two integer bases ⋮ Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers ⋮ On non-repetitive complexity of Arnoux-Rauzy words ⋮ Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents ⋮ Rational approximation to values of \(G\)-functions, and their expansions in integer bases ⋮ Purely periodic and transcendental complex continued fractions ⋮ A gap of the exponents of repetitions of Sturmian words
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