Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (3): 860-873.

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Recurrence of Continuous Time Markov Process in General State Space

Zhifeng Zhu(),Hong Huang*   

  1. School of Mathematics and Statistics, Hubei Engineering University, Hubei Xiaogan 432000
  • Received:2019-09-11 Online:2021-06-26 Published:2021-06-09
  • Contact: Hong Huang E-mail:376574200@qq.com
  • Supported by:
    the Hubei Education Department Foundation(B2019150);the NSF of Xiaogan(XGKJ2020010046);the Teaching Research Project of Hubei Engineering University(2018C19)

Abstract:

In this paper, the uniform extraordinary recurrent set of continuous time Markov processes is defined, and the determination method of uniform extraordinary recurrent set of continuous time Markov processes is discussed. Some conclusions on the recurrence of continuous time Markov processes with Ψ irreducibility are obtained, and some recurrence results related to petite sets are also obtained.

Key words: Markov process, Ψ Irreducible, Recurrence

CLC Number: 

  • O211.4
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