A Chaos game algorithm for generalized iterated function systems

被引：5
作者：
La Torre, D. [1 ,3 ]
Mendivil, F. [2 ]
机构：
[1] Univ Milan, Dept Econ Management & Quantitat Methods, Milan, Italy
[2] Acad Univ, Dept Math & Stat, Wolfville, NS, Canada
[3] Khalifa Univ, Dept Appl Math & Sci, Abu Dhabi, U Arab Emirates
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 224卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Iterated function systems; Chaos game; Generalized fractal transforms; FRACTAL TRANSFORMS; ERGODIC THEOREM;
D O I：
10.1016/j.amc.2013.08.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we provide an extension of the classical Chaos game for IFSP. The paper is divided into two parts: in the first one, we discuss how to determine the integral with respect to a measure which is a combination of a self-similar measure from an IFSP along with a density given by an IFSM. In the second part, we prove a version of the Ergodic Theorem for the integration of a continuous multifunction with respect to the invariant measure of an IFSP. These results are in line with some recent extensions of IFS theory to multifunctions. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：238 / 249
页数：12
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