Practical criteria for R-positive recurrence of unbounded semigroups

Nicolas Champagnat (1, 2) , Denis Villemonais (1, 2)

1 TOSCA - TO Simulate and CAlibrate stochastic models
2 IECL - Institut Élie Cartan de Lorraine

The goal of this note is to show how recent results on the theory of quasi-stationary distributions allow to deduce effortlessly general criteria for the geometric convergence of normalized unbounded semigroups.

Mots clés: quasi-stationary distributions; mixing properties; R-positivity; Foster-Lyapunov criteria

Domaines: Probabilités [math.PR]

Nicolas Champagnat, Denis Villemonais. Practical criteria for R-positive recurrence of unbounded semigroups. 2019. ⟨hal-02101680v1⟩