In this paper,the authors first introduce the tree-indexed Markov chains in random environment,which takes values on a general state space.Then,they prove the existence of this stochastic process,and develop a class o...In this paper,the authors first introduce the tree-indexed Markov chains in random environment,which takes values on a general state space.Then,they prove the existence of this stochastic process,and develop a class of its equivalent forms.Based on this property,some strong limit theorems including conditional entropy density are studied for the tree-indexed Markov chains in random environment.展开更多
The vertices of an infinite locally finite tree T are labelled by a collection of i.i.d.real random variables{Xo}ver which defines a tree indexed walk So=∑X,.We introduce and study the oscillations of the walk.
基金supported by the National Natural Science Foundation of China(Nos.11571142,11971197,11601191)。
文摘In this paper,the authors first introduce the tree-indexed Markov chains in random environment,which takes values on a general state space.Then,they prove the existence of this stochastic process,and develop a class of its equivalent forms.Based on this property,some strong limit theorems including conditional entropy density are studied for the tree-indexed Markov chains in random environment.
文摘The vertices of an infinite locally finite tree T are labelled by a collection of i.i.d.real random variables{Xo}ver which defines a tree indexed walk So=∑X,.We introduce and study the oscillations of the walk.
