The connection between reaction-diffusion PDEs of the KPP type and branching particle processes (such as the branching Brownian motion) is well known and has been extensively studied. In this talk, I will present several recent results which concern branching particle systems with selection (in which the number of particles is kept constant) and their relationship with a class of free boundary problems.
Based on joint works with Eric Brunet, Bernard Derrida, Sarah Penington and Jim Nolen.
Prof. Berestycki was educated in France where he graduated jointly from ENSAE (National School for Statistics and Economic Administration) and Université Pierre et Marie Curie in 2000. After his Ph.D. in Paris VI (2003) in Probability he was Maitre de Conférences in Marseille and then in Paris. During this time he was twice a Visiting Professor at NYU-Abu Dhabi and an Associate Professor at Ecole Polytechnique in Paris. He joined the Statistics Department and Magdalen College in Oxford in 2014 where he is Associate Professor of Probability and Statistics.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai