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.

PhD student:

• 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

• Nicolas Zalduendo Vidal, PhD thesis on bisexual branching processes, co-supervision with Coralie Fritsch

Former PhD Student and Post-doctoral fellows:

• Alexis Anagnostakis, PhD thesis on general diffusion processes approximation, co-supervision with Antoine Lejay

• 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