The criterion for uniqueness of quasi-stationary distributions of Markov processes and their domain of attraction problem

Hanjun Zhang, Pengwen Guo, Yixia Zhu

We consider a Markov process $X(t)$ on the nonnegative integers $E=S\cup \{0\}$, where $S=\{1,2,...\}$ is an irreducible class and 0 is an absorbing state. In this paper, we in…