Yuke Huang

collaborators

3 papers

math.DS2016

The numbers of powers in the Tribonacci sequence

Yu-Ke Huang, Zhi-Ying Wen

The Tribonacci sequence $T$ is the fixed point of the substitution $σ (a) = ab$ , $σ (b) = a c$ , $σ (c) = a$ . The prefix of $T$ of length $n$ is denoted by $T [1, n]$ …

math.DS2014

Envelope Word and Gap Sequence in Doubling Sequence

Yuke Huang, Hanxiong Zhang

Let $ω$ be a factor of Doubling sequence $D_{\infty} = x_{1} x_{2} \dots$ , then it occurs in the sequence infinitely many times. Let $ω_{p}$ be the $p$ -th occurrence of $ω$ and $G_{p} (ω)$ be th…

math.DS2014

Gap Sequence of Cutting Sequence with Slope $θ = [0; d ˙]$

Yuke Huang, Hanxiong Zhang

In this paper, we consider the factor properties and gap sequence of a special type of cutting sequence with slope $θ = [0; d ˙]$ , denoted by $F_{d, \infty}$ . Let $ω$ be a factor o…

The numbers of powers in the Tribonacci sequence

Envelope Word and Gap Sequence in Doubling Sequence

Gap Sequence of Cutting Sequence with Slope θ=[0;d˙]

Gap Sequence of Cutting Sequence with Slope $θ = [0; d ˙]$