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

doi:10.1016/S0252-9602(06)60025-8

数学物理学报(英文版)

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

吴传菊; 张峰; 刘禄勤

武汉大学数学与统计学院, 武汉 430072

收稿日期:2003-06-09 修回日期:1900-01-01 出版日期:2006-01-20 发布日期:2006-01-20
通讯作者: 吴传菊
基金资助:
Research supported in part by the National Natural Science Foundation of China and a grant from the Ministry of Education of China.

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

Wu Chuanju; Zhang Feng; Liu Luqin

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2003-06-09 Revised:1900-01-01 Online:2006-01-20 Published:2006-01-20
Contact: Wu Chuanju

摘要/Abstract

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.

关键词: Operator-self-similar processes, strong transience, isotropic, (weak) Feller processes

Abstract:

Key words: Operator-self-similar processes, strong transience, isotropic, (weak) Feller processes

中图分类号:

60J25

吴传菊; 张峰; 刘禄勤. CRITERIA OF STRONG TRANSIENCE FOR OPERATOR-SELF-SIMILAR MARKOV PROCESSES[J]. 数学物理学报(英文版), 2006, 26(1): 41-48.

Wu Chuanju; Zhang Feng; Liu Luqin. CRITERIA OF STRONG TRANSIENCE FOR OPERATOR-SELF-SIMILAR MARKOV PROCESSES[J]. Acta mathematica scientia,Series B, 2006, 26(1): 41-48.

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

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

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