A note on iterated function systems with discontinuous probabilities

被引：2

作者：

Jaroszewska, Joanna ^{[1
]}

机构：

[1] Cardinal Stefan Wyszynski Univ, Coll Sci, Fac Math & Nat Sci, PL-01938 Warsaw, Poland

来源：

CHAOS SOLITONS & FRACTALS | 2013年 / 49卷

关键词：

D O I：

10.1016/j.chaos.2013.01.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an example of an iterated function system with discontinuous probabilities. We prove that it posses an invariant probability measure. We also prove that it is asymptotically stable provided probabilities are positive. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：28 / 31

页数：4

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