广义Bethe树上奇偶马尔可夫链场上的若干极限性质
Some limit properties for even-odd Markov chain fields indexed by generalized Bethe tree
摘要
通过构造两个非负鞅证明了一个强极限定理,然后把它应用到本文所定义的广义Bethe树上的奇偶马尔可夫链场上,从而获得了此马氏链场上的一类强极限定理.
First, a strong limit theorem is proved by constructing two nonnegative martingales. Then it is applied to the study of even-odd Markov chain field defined in the paper. Therefore, some strong limit theorems for Markov chain field are obtained.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2007年第4期549-555,共7页
Pure and Applied Mathematics
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