Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (4): 1245-1254.

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Harris Recurrence of Continuous-Time Markov Process on General State Space

Zhu Zhifeng(),Zhou Junchao(),Huang Hong*   

  1. School of Mathematics and Statistics, Hubei Engineering University, Hubei Xiaogan 432000
  • Received:2024-11-12 Revised:2025-03-01 Online:2025-08-26 Published:2025-08-01
  • Supported by:
    NSFC(11601138);Teaching and Research Project of Hubei Engineering University(JY2025031);Teaching and Research Project of Hubei Engineering University(202230)

Abstract:

In this paper, we first study the Harris recurrence of the continuous time Markov process on general state space, then we study some problems about the decomposition of Harris, and finally we study the method to determine the Harris recurrence.

Key words: Markov chains, recurrence, Harris recurrence, Harris decomposition

CLC Number: 

  • O211.4
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