A Chaos game algorithm for generalized iterated function systems

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• 作者：D. La Torre ; F. Mendivil
• 关键词：Iterated function systems ; Chaos game ; Generalized fractal transforms
• 刊名：Applied Mathematics and Computation
• 出版年：1 November, 2013
• 年：2013
• 卷：224
• 期：Complete
• 页码：238-249
• 全文大小：397 K

文摘

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.