24 citations · 75 across the 16 of their papers we have counts for
16 papers
Topology automaton and conformal dimension of post-critical-finite self-similar sets
Hui Rao, Zhi-Ying Wen, Qihan Yuan +1
In this paper, we use a class of finite state automata, called topology automaton, to study the metric classification of a special class of post-critically finite self-similar sets…
Finite state automata and homeomorphism of self-similar sets
Liangyi Huang, Zhiying Wen, Yamin Yang +1
The topological and metrical equivalence of fractals is an important topic in analysis. In this paper, we use a class of finite state automata, called -automaton, to construct p…
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 of morphism , defined over the alphabet . In this paper, we get explicit expression o…
On strict Whitney arcs and -quasi self-similar arcs
Daowei Ma, Xin Wei, Zhiying Wen
A connected compact subset of is said to be a strict Whitney set if there exists a real-valued function on with su…
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 generated by the period-doubling substitution and , denoted by . Let be…
The numbers of powers in the Tribonacci sequence
Yu-Ke Huang, Zhi-Ying Wen
The Tribonacci sequence is the fixed point of the substitution , , . The prefix of of length is denoted by …