Wen Wu

activity

20162020

most citedQuantitative recurrence properties and homogeneous self-similar sets

3 citations · 3 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.CO2020

Hankel determinants of a Sturmian sequence

Haocong Song, Wen Wu

Let $τ$ be the substitution $1 \to 101$ and $0 \to 1$ on the alphabet ${0, 1}$ . The fixed point of $τ$ leading by 1, denoted by $s$ , is a Sturmian sequence. We first give a…

math.CO2019

Sum-free sets generated by the period-k-folding sequences and some Sturmian sequences

Jean-Paul Allouche, Jeffrey Shallit, Zhixiong Wen +2

First, we show that the sum-free set generated by the period-doubling sequence is not $κ$ -regular for any $κ \geq 2$ . Next, we introduce a generalization of the period-doubling sequ…

math.CO2018

On the additive complexity of a Thue-Morse like sequence

Jin Chen, Zhixiong Wen, Wen Wu

In this paper, we study the additive complexity $ρ_{t}^{+} (n)$ of a Thue-Morse like sequence $t = σ^{\infty} (0)$ with the morphism $σ : 0 \to 01, 1 \to 12, 2 \to 20$ . W…

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.

Hankel determinants of a Sturmian sequence

Sum-free sets generated by the period-k-folding sequences and some Sturmian sequences

On the additive complexity of a Thue-Morse like sequence

On the k-abelian complexity of the Cantor sequence

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