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math.GN2021
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…
math.GN2020
A dimension drop phenomenon of fractal cubes
Liangyi Huang, Hui Rao
Let E be a metric space. We introduce a notion of connectedness index of E, which is the Hausdor? dimension of the union of non-trivial connected components of E. We show that the…