Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree

被引：0
|
作者：
HuiLin Huang
WeiGuo Yang
机构：
[1] Shanghai Jiaotong University,Department of Mathematics
[2] Jiangsu University,Faculty of Science
来源：
Science in China Series A: Mathematics | 2008年 / 51卷
关键词：
Markov chains; Shannon-McMillan theorem; strong law of large numbers; uniformly bounded tree; 60F15; 60J10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the strong law of large numbers and Shannon-McMillan (S-M) theorem for Markov chains indexed by an infinite tree with uniformly bounded degree. The results generalize the analogous results on a homogeneous tree.
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页码：195 / 202
页数：7
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