Accessibility on iterated function systems

被引：3

作者：

Mohtashamipour, Maliheh ^{[1
]}

Bahabadi, Alireza Zamani ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Razavi Khorasan, Iran

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 01期

关键词：

Accessibility; iterated function system; skew product; transitivity; topologically mixing; stable accessibility and ergodicity; SHADOWING PROPERTIES; STABLE ERGODICITY; DIFFEOMORPHISMS;

D O I：

10.1515/gmj-2019-2032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：117 / 124

页数：8

共 21 条

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