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Assouad type dimensions of homogeneous Moran sets and Cantor-like sets

Published 20 Jul 2024 in math.GN | (2407.14837v2)

Abstract: In this paper, we give the Assouad dimension formula and the upper bound of the lower dimension for homogeneous Moran sets under the condition $\sup_{k\ge 1}{n_{k}}<+\infty$. We also give the Assouad spectrum and the lower spectrum formulas for Cantor-like sets.

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