191 citations · 256 across the 29 of their papers we have counts for
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math.PR2014
Exponential mixing properties for time inhomogeneous diffusion processes with killing
Pierre Del Moral, Denis Villemonais
We consider an elliptic and time-inhomogeneous diffusion process with time-periodic coefficients evolving in a bounded domain of with a smooth boundary. The process…
math.PR2014
Minimal quasi-stationary distribution approximation for a birth and death process
Denis Villemonais
In a first part, we prove a Lyapunov-type criterion for the -positive recurrence of absorbed birth and death processes and provide new results on the domain of attraction of…
math.PR2014★ 1 cited
Exponential convergence to quasi-stationary distribution and Q-process
Nicolas Champagnat, Denis Villemonais
For general, almost surely absorbed Markov processes, we obtain necessary and sufficient conditions for exponential convergence to a unique quasi-stationary distribution in the tot…