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A NEW EXAMPLE OF A DETERMINISTIC CHAOS GAME

Part of: Ergodic theory Real functions Classical measure theory

Published online by Cambridge University Press:  02 June 2016

ALIASGHAR SARIZADEH
ALIASGHAR SARIZADEH*
Affiliation:
Department of Mathematics, Ilam University, Ilam, Iran email ali.sarizadeh@gmail.com, a.sarizadeh@mail.ilam.ac.ir
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Abstract

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We give a new necessary and sufficient condition for an iterated function system to satisfy the deterministic chaos game. As a consequence, we give a new example of an iterated function system which satisfies the deterministic chaos game.

Keywords

iterated function systemstrict attractordeterministic chaos gameforward and backward minimal

MSC classification

Primary: 26A18: Iteration
Secondary: 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence 37A99: None of the above, but in this section
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 464 - 470
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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