Assouad dimensions of Moran sets and Cantor-like sets

Abstract

We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set introduced in [J. Math. Anal. Appl., 2015, 432:888–917], we also study the Assouad dimensions of Cantor-like sets.

Keywords

Fractal / Assouad dimension / Moran set / Cantor-like set

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Higher Education Press and Springer-Verlag Berlin Heidelberg