English

Irreducibility and uniqueness of stationary distribution

Probability 2009-02-20 v1

Abstract

In this paper, we shall prove that the irreducibility in the sense of fine topology implies the uniqueness of invariant probability measures. It is also proven that this irreducibility is strictly weaker than the strong Feller property plus irreducibility in the sense of original topology, which is the usual uniqueness condition.

Keywords

Cite

@article{arxiv.0902.3296,
  title  = {Irreducibility and uniqueness of stationary distribution},
  author = {Ping He and Jiangang Ying},
  journal= {arXiv preprint arXiv:0902.3296},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-06-21T12:13:15.444Z