Xiao-Tao Lu

activity

20162021

most citedOn the abelian complexity of the Rudin-Shapiro sequence

11 citations · 12 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2021★ 1 cited

On the 2-binomial complexity of the generalized Thue-Morse words

Xiao-Tao Lü, Jin Chen, Zhi-Xiong Wen +1

In this paper, we study the $2$ -binomial complexity $b_{t_{m}, 2} (n)$ of the generalized Thue-Morse words $t_{m}$ for every integer $m \geq 3$ . We obtain the exact…

math.CO2017

On the $k$ -abelian complexity of the Cantor sequence

Jin Chen, Xiaotao Lü, Wen Wu

In this paper, we prove that for every integer $k \geq 1$ , the $k$ -abelian complexity function of the Cantor sequence $c = 101000101 \dots$ is a $3$ -regular sequence.

math.CO2016★ 11 cited

On the abelian complexity of the Rudin-Shapiro sequence

Xiaotao Lü, Jin Chen, Zhixiong Wen +1

In this paper, we study the abelian complexity of the Rudin-Shapiro sequence and a related sequence. We show that these two sequences share the same complexity function $ρ (n)$ whic…

On the 2-binomial complexity of the generalized Thue-Morse words

On the k-abelian complexity of the Cantor sequence

On the abelian complexity of the Rudin-Shapiro sequence

On the $k$ -abelian complexity of the Cantor sequence