Shuo Li

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math.CO2026

On the Number of Rational Power Factors in a Finite Word

Shuo Li, Yuan Song

Let $w$ be a finite word of length $n$ . In this paper, we study the maximum possible number of distinct rational power factors in a finite word. A rational power is a word of the f…

math.CO2026

A Tighter Upper Bound for the Number of Distinct Squares in Circular Words

Shuo Li, Yuan Song

A \emph{square} is a word of the form $uu$ , where $u$ is a nonempty finite word. Given a finite word $w$ of length $n$ , let $[w]$ denote the corresponding \emph{circular word}, i.e…

math.CO2024

Letter frequency vs factor frequency in pure morphic words

Shuo Li

We prove that, for any pure morphic word $w$ , if the frequencies of all letters in $w$ exist, then the frequencies of all factors in $w$ exist as well. This result answers a questi…