The Weighted Transience and Recurrence of Markov Processes  

作　　者：Min Zhi ZHAO Hui Zeng ZHANG 

机构地区：[1]Department of Mathematics, Zhejing University, Hangzhou 310027, P. R. China [2]School of Computer and Computing Science, Zhejiang University City College. Hangzhou 310015, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第1期111-126,共16页数学学报（英文版）

摘　　要：Transience and recurrence are among the most important concepts in Markov processes. In this paper, we study the transience and recurrence for right processes with a given weight function, and characterize them by potentials, excessive functions, first hitting times and last exit times of the process. We also study the properties of recurrent states.Transience and recurrence are among the most important concepts in Markov processes. In this paper, we study the transience and recurrence for right processes with a given weight function, and characterize them by potentials, excessive functions, first hitting times and last exit times of the process. We also study the properties of recurrent states.

关 键 词：ω-recurrence ω-transience last exit time right process 

分 类 号：O17[理学—数学]