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A Chaos game algorithm for generalized iterated function systems

delete2013-11-01
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D
Davide La Torre *
F
Franklin Mendivil
DOI:10.1016/j.amc.2013.08.049delete
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摘要

摘要

En 中文
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.
Keyword:
Iterated function systems
Chaos game
Generalized fractal transforms
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期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

Acadia University 封面图
Acadia University
学者数:
794
论文数: 801
被引数: 1.1K
U
University of Milan
学者数:
5.1W
论文数: 3.9W
被引数: 5.0W
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