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Aliasghar Sarizadeh

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Basic Science
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Research

Title
Addendum and corrigendum to "On the chaos game of iterated function systems"
Type
JournalPaper
Keywords
Iterated function systems, quasi-attractors, Conley attractors, chaos game
Year
2020
Journal TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
DOI
Researchers Pablo G. Barrientos ، Maxwell Fitzsimmons ، Fatemeh H. Ghane ، Dominique Malicet ، Aliasghar Sarizadeh

Abstract

We provide a counter-example to Theorem 1.4(a) in [3], Topol. Methods Nonlinear Anal. 49 (2017), no. 1, 105-132, by showing that the closure of the Γ-orbit of a point x in the pointwise basin of Ls-attraction of a quasi-attractor A is not compact. In order to fix this gap, we modified the definition of Ls-basin of attraction. In addiction, we propose a better place to play the chaos game and as a consequence we get some additional results on strongly-fibred quasi-attractors and Conley attractors.