Georgian Mathematical Journal, ( ISI ), Year (2019-6)

Title : ( Accessibility on iterated function systems )

Authors: maliheh mohtashamipour , Ali Reza Zamani Bahabadi ,

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Abstract

In this paper, we define accessibility on an iterated function system (IFS) and show that it provides a sufficient condition for the transitivity of this system and its corresponding skew product. Then, by means of a certain tool, we obtain the topologically mixing property. We also give some results about the ergodicity and stability of accessibility and, further, illustrate accessibility by some examples.

Keywords

, Accessibility, iterated function system, skew product, transitivity, topologically mixing, stable accessibility and ergodicity
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@article{paperid:1074692,
author = {Mohtashamipour, Maliheh and Zamani Bahabadi, Ali Reza},
title = {Accessibility on iterated function systems},
journal = {Georgian Mathematical Journal},
year = {2019},
month = {June},
issn = {1072-947X},
keywords = {Accessibility; iterated function system; skew product; transitivity; topologically mixing; stable accessibility and ergodicity},
}

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%0 Journal Article
%T Accessibility on iterated function systems
%A Mohtashamipour, Maliheh
%A Zamani Bahabadi, Ali Reza
%J Georgian Mathematical Journal
%@ 1072-947X
%D 2019

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