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math.MG2023★ 2 cited
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…
math.MG2013
Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties
Hui Rao, Huo-Jun Ruan, Yang Wang
In this paper we provide an up-to-date survey on the study of Lipschitz equivalence of self-similar sets. Lipschitz equivalence is an important property in fractal geometry because…