Affiliation:
1. College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, P. R. China
2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Abstract
For [Formula: see text], a middle-[Formula: see text] Sierpinski carpet [Formula: see text] is defined as the self-similar set generated by the iterated function system (IFS) [Formula: see text], where [Formula: see text] is defined by [Formula: see text] Here, [Formula: see text]. In this paper, for [Formula: see text], we investigated the equivalent characterizations of the intersection [Formula: see text] being a generalized Moran set. Furthermore, under some conditions, we show that [Formula: see text] can be represented as a graph-directed set satisfying the open set condition (OSC), and then the Hausdorff dimension can be explicitly calculated.
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
1 articles.
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