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20132023
most citedTopology automaton and conformal dimension of post-critical-finite self-similar sets

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

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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…

math.GN2018

Every component of a fractal square is a Peano continuum

Jun Luo, Hui Rao, Ying Xiong

This paper concerns the local connectedness of components of self-similar sets. Given an equal partition of the unit square into n*n small squares, we may choose arbitrarily two or…