Takao Watanabe

collaborators

2 papers

math.CO2022

The exponent of repetition of the characteristic Sturmian word whose slope is a quadratic irrational

Takao Watanabe

For an infinite word $x$ , Bugeaud and Kim introduced a quantity $rep (x)$ called the exponent of repetition of $x$ . We prove that $rep (x) = rep (y)$ holds…

math.CO2020

A gap of the exponents of repetitions of Sturmian words

Suzue Ohnaka, Takao Watanabe

By measuring second occurring times of factors of an infinite word $x$ , Bugeaud and Kim introduced a new quantity $rep (x)$ called the exponent of repetition of $x$ . It was pr…