Huang Yuke

collaborators

2 papers

math.DS2016

Envelope Words and Return Words Sequences in the Period-doubling Sequence

Huang Yuke, Wen Zhiying

We consider the infinite one-sided sequence generated by the period-doubling substitution $σ (a, b) = (ab, aa)$ , denoted by $D$ . Since $D$ is uniformly recurrent, each…

math.DS2016

The numbers of distinct and repeated squares and cubes in the Tribonacci sequence

Huang Yuke, Wen Zhiying

The Tribonacci sequence $T$ is the fixed point of the substitution $σ (a, b, c) = (ab, a c, a)$ . The main result is twofold: (1) we give the explicit expressions of the numbers of…