I am a professor at University of Strasbourg in applied mathematics, member of the probability team at the math laboratory IRMA, and I teach in the UFR de mathématique et informatique.
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
HDR in Applied Mathematics, 2019
Université de Lorraine
PhD in Applied Mathematics, 2011
Ecole Polytechnique (Palaiseau, France)
Master in Probability theory, 2008
Université d'Orsay
Ecole Normale Supérieure (MP2004), 2004-2008
Ecole Normale Supérieure
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