Affiliation:
1. Department of Mathematics, South China University of Technology, Guangzhou 510641, P. R. China
Abstract
This paper focus on the compact Ahlfors–David regular subsets of fractals. For this, we introduce the Ahlfors–David regular dimension and study its basic properties. Based on these properties and some known results in dimension theory of fractals, we compute Ahlfors–David Regular dimension for Moran sets and McMullen sets.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Guangdong Province
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation
Cited by
3 articles.
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