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math.PR2020★ 3 cited
Metastability between the clicks of Muller's ratchet
Mauro Mariani, Etienne Pardoux, Aurélien Velleret
We prove the existence and uniqueness of a quasi-stationary distribution for three stochastic processes derived from the model of Muller's ratchet. This model was invented with the…
math.PR2020
Large deviations for surviving trajectories of general Markov processes
Aurélien Velleret
The purpose of this paper is to ensure the conditions of Gärtner-Ellis Theorem for evaluations of the empirical measure. We show that up-to-date conditions for ensuring the converg…