Birth and Death Processes

General criteria for the study of quasi-stationarity
For Markov processes with absorption, we provide general criteria ensuring the existence and the exponential non-uniform convergence in …
Nicolas Champagnat, Denis Villemonais
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Uniform convergence of penalized time-inhomogeneous Markov processes
We provide a general criterion ensuring the exponential contraction of Feynman–Kac semi-groups of penalized processes. This criterion …
Nicolas Champagnat, Denis Villemonais
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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 …
Denis Villemonais
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Existence and Uniqueness of a Quasistationary Distribution for Markov Processes with Fast Return from Infinity
We study the long-time behaviour of a Markov process evolving in $\mathbb{N}$ and conditioned not to hit 0. Assuming that the process …
Servet Martínez, Jaim San Martín, Denis Villemonais
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