11 citations · 12 across the 4 of their papers we have counts for
7 papers
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 -binomial complexity of the generalized Thue-Morse words for every integer . We obtain the exact…
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 -regular for any . Next, we introduce a generalization of the period-doubling sequ…
On the abelian complexity of generalized Thue-Morse sequences
Jin Chen, Zhi-Xiong Wen
In this paper, we study the abelian complexity of generalized Thue-Morse sequences . We obtain the exact value of $ρ_n^{ab}(\mathbf{t…
On the additive complexity of a Thue-Morse like sequence
Jin Chen, Zhixiong Wen, Wen Wu
In this paper, we study the additive complexity of a Thue-Morse like sequence with the morphism . W…
Morphisms on infinite alphabets, countable states automata and regular sequences
Jie-Meng Zhang, Jin Chen, Yingjun Guo +1
In this paper, we prove that a class of regular sequences can be viewed as projections of fixed points of uniform morphisms on a countable alphabet, and also can be generated by co…
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 whic…