保守单流出非规则Markov链爆发后反复击中的若干性质

Some Properties of Repeated Hits After the First Explosion of a Conservative and Nonregular Markov Chains in Single Exit Case

在Markov过程的研究中,首中与末离具有特殊重要的意义.我们将[1,2]性质进行了推广,对于保守单流出非规则的Markov链,研究了该过程首次爆发后关于有界集合B的反复击中以及反复爆发的若干性质.特别地,该过程爆发后反复击中的性质可以通过爆发后首次击中的性质来表述.

On studying the Markov process, the properties of first hitting and last exit are of special importance. In this paper, author has made a further study of such properties for a conserrative and nonregular Markov chains in single exit case, which can be expressed by the properties of the first hit and the first explosion.