Minimal quasi-stationary distribution approximation for a birth and   death process
  In a first part, we prove a Lyapunov-type criterion for the $\xi\_1$-positive recurrence of absorbed birth and death processes and provide new results on the domain of attraction of the minimal quasi-stationary distribution. In a second part, we study the ergodicity and the convergence of a Fleming-Viot type particle system whose particles evolve independently as a birth and death process and jump on each others when they hit $0$. Our main result is that the sequence of empirical stationary distributions of the particle system converges to the minimal quasi-stationary distribution of the birth and death process. 
Denis Villemonais (INRIA Sophia Antipolis / INRIA Nancy - Grand Est/   IECN, Mines Nancy)
math.PR