A random multifractal tilling

被引：7
|
作者：
Pereira, MG
Corso, G
Lucena, LS
Freitas, JE
机构：
[1] Univ Fed Rio Grande do Norte, Int Ctr Complex Syst, Dept Fis Teor & Expt, BR-59078970 Natal, RN, Brazil
[2] Univ Fed Rio Grande do Norte, Ctr Biociencias, Dept Biofis, BR-59072970 Natal, RN, Brazil
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 04期
关键词：
D O I：
10.1016/j.chaos.2004.06.045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a multifractal random tilling that fills the square. The multifractal is formed by an arrangement of rectangular blocks of different sizes, areas and number of neighbors. The overall feature of the tilling is an heterogeneous and anisotropic random self-affine object. The multifractal is constructed by an algorithm that makes successive sections of the square. At each n-step there is a random choice of a parameter p(i) related to the section ratio. For the case of random choice between p(1), and p(2) We find analytically the full spectrum of fractal dimensions. (C) 2004 Published by Elsevier Ltd.
引用
收藏
页码：1105 / 1110
页数：6
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