Abstract
By measuring second occurring times of factors of an infinite word , Bugeaud and Kim introduced a new quantity called the exponent of repetition of . It was proved by Bugeaud and Kim that if is a Sturmian word. We determine the value such that there is no Sturmian word satisfying and is an accumulation point of the set of when runs over the Sturmian words.
Citation
Suzue Ohnaka. Takao Watanabe. "A gap of the exponents of repetitions of Sturmian words." Mosc. J. Comb. Number Theory 10 (3) 203 - 234, 2021. https://doi.org/10.2140/moscow.2021.10.203
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