191 citations · 256 across the 29 of their papers we have counts for
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math.PR2015
Exponential convergence to quasi-stationary distribution for absorbed one-dimensional diffusions with killing
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of absorbed one-dimensional diffusion processes with killing on . We obtain criteria for the exponential convergence…
math.PR2015★ 5 cited
Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of multidimensional birth and death processes, modeling the interaction between several species, absorbed when one of the coordi…
math.PR2015
Uniform convergence of conditional distributions for absorbed one-dimensional diffusions
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of absorbed one-dimensional diffusions. We obtain necessary and sufficient conditions for the exponential convergence to a uniqu…