Small stochastic perturbations of random maps with position dependent probabilities

被引：0

作者：

Bahsoun, W ^{[1
]}

Góra, P ^{[1
]}

Boyarsky, A ^{[1
]}

机构：

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

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2004年 / 22卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

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

D O I：

10.1081/SAP-120037634

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A position dependent random map is a dynamical system consisting of a collection of maps Such that, at each iteration, a selection of a map is made randomly by means of probabilities which are functions of position. Let f* be an invariant density of the position dependent random map T-. We consider a model of small random perturbations of the random map T-epsilon For each epsilon > 0, Tepsilon has an invariant density function f(epsilon). We prove that fepsilon --> f* as epsilon --> 0.

引用

页码：1121 / 1130

页数：10