R-Positive Recurrence

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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Practical criteria for R-positive recurrence of unbounded semigroups
The goal of this note is to show how recent results on the theory of quasi-stationary distributions allow to deduce effortlessly …
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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