Professor Julien Berestycki
Branching processes, branching random walks, coalescence, fragmentation, population genetics, reaction-diffusion equations, front propagation, random trees.
About my research
My research is in probability theory and focuses essentially on models and situations which involve tree-like structures and branching phenomena. Examples include coalescent processes, branching processes, continuous random trees, branching random walks... These models are not only endowed with a remarkably rich mathematical structure that connects them to many area of mathematics, but they also occur naturally in physical sciences, in population genetics and in biology. Questions that arise in these fields are a major motivation of my work.
- Beta-coalescents and continuous stable random trees (with N. Berestycki and J. Schweinsberg.) Ann. Probab. 35, 1835-1887 (2007)
- The Λ-coalescent speed of coming down from infinity (with N. Berestycki and V. Limic). Ann. Probab. 38, no. 1, 207--233. (2010)
- The genealogy of branching Brownian motion with absorption (with N. Berestycki and J. Schweinsberg). Ann. Probab. Volume 41, Number 2 (2013), 527-618.
- Branching Brownian motion seen from its tip (with E. Aïdekon, E. Brunet and Z. Shi). Proba. Theory Related Fields. Volume 157, Issue 1 (2013), Page 405-451
- Hitting properties and non-uniqueness for SDEs driven by stable processes (with L. Doering, L. Mytnik and L. Zambotti). To appear in Stoch. Proc. Appl.
I was educated in France where I graduated jointly from ENSAE (National School for Statistics and Economic Administration) and Université Paris VI in 2000. After my PhD in Paris VI (2003) in Probability I was Maitre de Conférences in Marseille for three years and then in Paris until 2014 when I joined the Statistics department and Magdalen College in Oxford.
During this time I have also twice been visiting professor at NYU-Abu Dhabi as well as long term visitor at the University of Bath.