Nathanaël Berestycki

I will first describe a result on the uniqueness of invariant distributions for a certain process of coagulation and fragmentation. This result was firstproved by Diaconis, Mayer-Wolf, Zeitouni and Zerner (2004) using representation theory, but...

We consider random planar maps weighted by the critical Fortuin--Kasteleyn percolation model with parameter $q \in (0,4)$. The study of these surfaces is central to the theory of Liouville quantum gravity. We obtain rigorously the value of critical...