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

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

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：kaji2009

【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 d

【作 者】

：

HuiLin Huang (1)  WeiGuo Yan 

【机 构】

：

1.DepartmentofMathematics,2.FacultyofScience

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2008年2期

【关键词】

：

Markov CHAINS Shannon-McMillan theorem strong law of large NUMBERS UNIFORMLY BOU 

【基金项目】

：

the National Natural Science Foundation of China (Grant No.10571076)

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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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