71 citations · 303 across the 42 of their papers we have counts for
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math.PR2018
Convergence of the Fleming-Viot process toward the minimal quasi-stationary distribution
Nicolas Champagnat, Denis Villemonais
We prove under mild conditions that the Fleming-Viot process selects the minimal quasi-stationary distribution for Markov processes with soft killing on non-compact state spaces. O…
math.PR2018★ 1 cited
Probabilistic Non-asymptotic Analysis of Distributed Algorithms
Nicolas Champagnat, René Schott, Denis Villemonais
We present a new probabilistic analysis of distributed algorithms. Our approach relies on the theory of quasi-stationary distributions (QSD) recently developped by Champagnat and V…