Yao-Qiang Li

activity

20172020

most citedGeneralized Koch curves and Thue-Morse sequences

5 citations · 8 across the 7 of their papers we have counts for

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math.DS2020★ 5 cited

Generalized Koch curves and Thue-Morse sequences

Yao-Qiang Li

Let $(t_{n})_{n \geq 0}$ be the well konwn $\pm 1$ Thue-Morse sequence $+ 1, - 1, - 1, + 1, - 1, + 1, + 1, - 1, \dots .$ Since the 1982-1983 work of Coquet and Dekking, it is known that $\sum_{k<n}t_k…

math.NT2020

Infinite products related to generalized Thue-Morse sequences

Yao-Qiang Li

Given an integer $q \geq 2$ and $θ_{1}, \dots, θ_{q - 1} \in {0, 1}$ , let $(θ_{n})_{n \geq 0}$ be the generalized Thue-Morse sequence, defined to be the unique fixed point of the morphism $$0\ma…

math.NT2020

Divisibility properties of factors of the discriminant of generalized Fibonacci numbers

Yao-Qiang Li

We study some divisibility properties related to the factors of the discriminant of the characteristic polynomial of generalized Fibonacci sequences $(G_{n})_{n \geq 0}$ defined by $G_0…

math.DS2020

Hausdorff dimension of frequency sets of univoque sequences

Yao-Qiang Li

For integer $m \geq 3$ , we study the dynamical system $(Λ_{m}, σ_{m})$ where $Λ_{m}$ is the set ${w \in {0, 1}^{N} : w$ does not contain $0^{m}$ or $1^{m}}$ and $σ_{m}$ is the shift map on…