INVISIBLE SETS AND CONFORMAL DIMENSIONS OF SQUARE SIERPIŃSKI CARPETS
Affiliation:
1. School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, Hubei, P. R. China
Abstract
We give general method of constructing invisible sets on square Sierpiński carpets which can be asymmetrical. As an application, we obtain upper bounds of the conformal dimensions of square Sierpiński carpets. The bounds are less than the Hausdorff dimensions of square Sierpiński carpets.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation