Position dependent random maps in one and higher dimensions

被引：23

作者：

Bahsoun, W

Góra, P

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada

来源：

STUDIA MATHEMATICA | 2005年 / 166卷 / 03期

关键词：

random map; absolutely continuous invariant measure; Perron-Frobenius operator;

D O I：

10.4064/sm166-3-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position dependent probabilities on the interval and on a bounded domain of R-n. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of R-n are the main results.

引用

页码：271 / 286

页数：16

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