共 2 条
- [1] Toom A.(2002)Particle systems with variable length Bull. Brazil. Math. Soc. 33 419-425
- [2] Toom A.(2004)Non-ergodicity in a 1-D particle process with variable length J. Stat. Phys. 115 895-924
Every Continuous Operator Has an Invariant Measure
被引：0
作者：
André Toom
机构：
[1] Federal University of Pernambuco,Department of Statistics
来源：
Journal of Statistical Physics
|
2007年
/
129卷
关键词：
Interactive random processes;
Invariant measure;
Fixed point;
Schauder-Tychonoff theorem;
Variable length;
Non-linearity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove the existence of an invariant measure for a large class of random processes with discrete time without assuming their linearity. Our main examples are “processes with variable length”, in which components may appear and disappear in the course of functioning. One of these examples displays non-uniqueness of invariant measure in a 1-D process.
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页码：555 / 566
页数：11
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