CRITERIA OF STRONG TRANSIENCE FOR OPERATOR-SELF-SIMILAR MARKOV PROCESSES  

作　　者：吴传菊 张峰 刘禄勤 

机构地区：[1]School of Mathematics and Statistics Wuhan University

出　　处：《Acta Mathematica Scientia》2006年第1期41-48,共8页数学物理学报（B辑英文版）

基　　金：Research supported in part by the National Natural Science Foundation of China and a grant from the Ministry of Education of China

摘　　要：Yamamuro in [1] defines strong and weak transience of Markov processes; gives a criterion for strong transience of Feller processes; and further, discusses strong and weak transience of Ornstein-Uhlenbeck type processes. In this article, the authors weaken the Feller property of the result in [1] to weak Feller property and discuss the strong transience of operator-self-similar Markov processes.Yamamuro in [1] defines strong and weak transience of Markov processes; gives a criterion for strong transience of Feller processes; and further, discusses strong and weak transience of Ornstein-Uhlenbeck type processes. In this article, the authors weaken the Feller property of the result in [1] to weak Feller property and discuss the strong transience of operator-self-similar Markov processes.

关 键 词：Operator-self-similar processes strong transience ISOTROPIC （weak） Feller processes 

分 类 号：O177[理学—数学]