My researches focus on Markov processes with absorbing states conditioned to not be absorbed and, more precisely, on quasi-stationary distributions. Beside the existence, uniqueness or domain of attraction of quasi-stationary distributions, I am also interested in the approximation of the conditioned distribution of Markov processes and, more precisely, in a method based on the hydrodynamic limit of a mean-field interacting particle system.
I am also interested in medical, biological and ecological models. In particular, in collaboration with the CHU of Nancy, we study the telomere length distribution evolution during adult life and its medical implications.
Download my resumé.
Open position for a Master internship in Nancy:
Sophie Baland, PhD Thesis on Telomere length dynamics: modelling, estimation and application to diagnostic aid, co-supervision with Simon Toupance
Vincent Kagan, PhD Thesis on Asymptotic behavior of epidemiological models with individual viral load, co-supervision with Édouard Strickler
Former PhD Student and Post-doctoral fellows:
Joseph Lam-Weil, Postdoc on telomere length dynamics statistics
William Oçafrain, Postdoc on time inhomogeneous conditioned processes
Lionel Lenôtre, Postdoc on telomere length dynamics modelling
Emma Horton, Postdoc on telomere length dynamics modelling
Edouard Strickler, Postdoc on quasi-stationary distributions for PDMPs
HDR in Applied Mathematics, 2019
Université de Lorraine
PhD in Applied Mathematics, 2011
Ecole Polytechnique (Palaiseau, France)
Master in Probability theory, 2008
Ecole Normale Supérieure (MP2004), 2004-2008
Ecole Normale Supérieure