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

collaborators

7 papers

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…

math.DS2019★ 3 cited

Random walks associated to beta-shifts

Bing Li, Yao-Qiang Li, Tuomas Sahlsten

We study the dynamics of a simple random walk on subshifts defined by the beta transformation and apply it to find concrete formulae for the Hausdorff dimension of digit frequency…

math.DS2019

Hausdorff dimension of frequency sets in beta-expansions

Yao-Qiang Li

By applying a 2014 result on the distribution of full cylinders, we give a proof of the useful folklore: for any $β > 1$ , the Hausdorff dimension of an arbitrary set in the shift spa…

math.DS2017

Distributions of full and non-full words in beta-expansions

Yao-Qiang Li, Bing Li

The structures of full words and non-full for $β$ -expansions are completely characterized in this paper. We obtain the precise lengths of all the maximal runs of full and non-full…