Yuke Huang

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20162018

most citedEnvelope Words and the Reflexivity of the Return Word Sequences in the Period-doubling Sequence

3 citations · 3 across the 1 of their papers we have counts for

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math.DS2018

The Number of Fractional Powers in the Fibonacci Word

Yu-ke Huang, Zhi-ying Wen

The Fibonacci word is the fixed point beginning with the letter $a$ of morphism $σ (a) = ab$ , $σ (b) = a$ defined over the alphabet ${a, b}$ . In this paper, we get explicit expression o…

math.DS2017★ 3 cited

Envelope Words and the Reflexivity of the Return Word Sequences in the Period-doubling Sequence

Yu-Ke Huang, Zhi-Ying Wen

We consider the infinite one-sided sequence over alphabet ${a, b}$ generated by the period-doubling substitution $σ (a) = ab$ and $σ (b) = aa$ , denoted by $D$ . Let $r_{p} (ω)$ be…

math.DS2016

The Square Trees in the Tribonacci Sequence

Yuke Huang, Zhiying Wen

The Tribonacci sequence $T$ is the fixed point of the substitution $σ (a, b, c) = (ab, a c, a)$ . In this note, we get the explicit expressions of all squares, and then establish t…

math.DS2016

The Numbers of Distinct Squares and Cubes in the Tribonacci Sequence

Yuke Huang, Zhiying Wen

The Tribonacci sequence $T$ is the fixed point of the substitution $σ (a, b, c) = (ab, a c, a)$ . In this note, we give the explicit expressions of the numbers of distinct squares…

math.DS2016

The numbers of repeated palindromes in the Fibonacci and Tribonacci sequences

Huang Yuke, Wen Zhiying

The Fibonacci sequence $F$ is the fixed point beginning with $a$ of morphism $σ (a, b) = (ab, a)$ . Since $F$ is uniformly recurrent, each factor $ω$ appears infinite m…

math.DS2016

The number of distinct and repeated squares and cubes in the Fibonacci sequence

Yuke Huang, Zhiying Wen

The Fibonacci sequence $F$ is the fixed point beginning with $a$ of morphism $σ (a, b) = (ab, a)$ . In this paper, we get the explicit expressions of all squares and cubes, then…