Acta Mathematica Sinica, English Series

, Volume 23, Issue 1, pp 111–126

The Weighted Transience and Recurrence of Markov Processes


DOI: 10.1007/s10114-005-0808-x

Cite this article as:
Zhao, M.Z. & Zhang, H.Z. Acta Math Sinica (2007) 23: 111. doi:10.1007/s10114-005-0808-x


Transience and recurrence are among the most important concepts in Markov processes. In this paper, we study the transience and recurrence for right processes with a given weight function, and characterize them by potentials, excessive functions, first hitting times and last exit times of the process. We also study the properties of recurrent states.


w–recurrencew–transiencelast exit timeright process

MR (2000) Subject Classification


Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Department of MathematicsZhejiang UniversityHangzhou 310027P. R. China
  2. 2.School of Computer and Computing ScienceZhejiang University City CollegeHangzhou 310015P. R. China