Articles

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

  • Wu Chuanju ,
  • Zhang Feng ,
  • Liu Luqin
Expand
  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2003-06-09

  Revised date: 1900-01-01

  Online published: 2006-01-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(06)60025-8

Outlines

/