数学物理学报(英文版)

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

吴传菊; 张峰; 刘禄勤   

  1. 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   

  1. 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:

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:

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.

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

中图分类号: 

  • 60J25