Lyapunov Criteria

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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Lyapunov criteria for uniform convergence of conditional distributions of absorbed Markov processes
We study the quasi-stationary behavior of multidimensional processes absorbed when one of the coordinates vanishes. Our results cover …
Nicolas Champagnat, Denis Villemonais
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Population processes with unbounded extinction rate conditioned to non-extinction
This article studies the quasi-stationary behaviour of population processes with unbounded absorption rate, including one-dimensional …
Nicolas Champagnat, Denis Villemonais
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