Order reprints

On the construction, properties and Hausdorff dimension of random Cantor one pth set

Sudesh Kumari Renu Chugh Jinde Cao Chuangxia Huang

*Corresponding author: Jinde Cao, Chuangxia Huang jdcao@seu.edu.cn;cxiahuang@amss.ac.cn


In 1883, German Mathematician George Cantor introduced Cantor ternary set which is a self-similar fractal. K. J. Falconer (1990) defined random Cantor set with statistical self-similarity. The purpose of this paper is to introduce generalized random Cantor sets (one 5th, one 7th and in general one pth). Some properties and results of random Cantor one pth set have also been obtained. We compute Hausdorff dimension of random Cantor one pth sets and show that Hausdorff dimension of these random Cantor sets is less than that of Hausdorff dimension of Cantor one pth sets, calculated by Ashish et al. (2013).

Please supply your name and a valid email address you yourself

Fields marked*are required

Article URL   http://www.aimspress.com/Math/article/4904.html
Article ID   math-05-04-202
Editorial Email  
Your Name *
Your Email *
Quantity *

Copyright © AIMS Press All Rights Reserved