107 citations · 586 across the 55 of their papers we have counts for
4 papers · 2 filters
Coalescing Brownian flows: A new approach
Nathanaël Berestycki, Christophe Garban, Arnab Sen
The coalescing Brownian flow on is a process which was introduced by Arratia [Coalescing Brownian motions on the line (1979) Univ. Wisconsin, Madison] and Tóth and Wer…
The shape of multidimensional Brunet--Derrida particle systems
Nathanael Berestycki, Lee Zhuo Zhao
We introduce particle systems in one or more dimensions in which particles perform branching Brownian motion and the population size is kept constant equal to , through the…
Condensation of random walks and the Wulff crystal
Nathanael Berestycki, Ariel Yadin
We introduce a Gibbs measure on nearest-neighbour paths of length in the Euclidean -dimensional lattice, where each path is penalised by a factor proportional to the size of…
Diffusion in planar Liouville quantum gravity
Nathanael Berestycki
We construct the natural diffusion in the random geometry of planar Liouville quantum gravity. Formally, this is the Brownian motion in a domain of the complex plane for which…