Law of Large Numbers for Random Dynamical Systems

被引：7

作者：

Horbacz, Katarzyna ^{[1
]}

Sleczka, Maciej ^{[1
]}

机构：

[1] Silesian Univ, Inst Math, Bankowa 14, PL-40007 Katowice, Poland

来源：

JOURNAL OF STATISTICAL PHYSICS | 2016年 / 162卷 / 03期

关键词：

Dynamical systems; Law of large numbers; Invariant measure; INVARIANT-MEASURES; STABILITY; CONVERGENCE; DIVISION; MODEL;

D O I：

10.1007/s10955-015-1423-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider random dynamical systems with randomly chosen jumps. The choice of deterministic dynamical system and jumps depends on a position. We prove the existence of an exponentially attractive invariant measure and the strong law of large numbers.

引用

页码：671 / 684

页数：14

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