I am a Maître de Conférences at University of Lorraine and head of the Applied Mathematic department at the engineering school École des Mines de Nancy.

My researches focus on the stochastic analysis of non-conservative dynamics and their applications, such as branching processes, bisexual branching processes, particle systems with Moran type interactions, growth fragmentation equations, Pólya urns and reinforced processes, and Markov processes with absorbing states. In particular, I am interested in the existence, uniqueness and domain of attraction of quasi-stationary distributions, and am also interested in their approximation by interacting particle systems and reinforced processes.

I am also interested in medical, biological and ecological models. In particular, in collaboration with the CHRU of Nancy, we study the stochastic modelisation and the statistical properties of telomere length dynamics during adult life and its medical implications. Recently, with the CIC-P and cardiologists at the CHRU of Nancy, we started a collaboration on the evaluation and improvement of diagnostic models of heart failure in the emergency department.

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Master and PhD students:

• Pascaline Kouda, Master student on the evaluation and improvement of diagnostic models of heart failure in the emergency department, co-supervised by Anne Gégout-Petit and Nicolas Girerd

• 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 Students and Post-doctoral fellows:

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

• 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