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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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Abstract

Abstract

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.
Keywords:
Iterated function systems
Chaos game
Generalized fractal transforms
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Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

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Acadia University cover
Acadia University
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794
Papers: 801
Citations: 1.1K
U
University of Milan
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5.1W
Papers: 3.9W
Citations: 5.0W
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