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math.CO2013★ 1 cited
Classification of tile digit sets as product-forms
Chun-Kit Lai, Ka-Sing Lau, Hui Rao
Let be an expanding matrix on with integral entries. A fundamental question in the fractal tiling theory is to understand the structure of the digit set ${\mathcal…
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…