Ballistic deposition on a planar strip.
Balls left empty by a critical branching Wiener process.
Behavior of a second class particle in Hammersley's process.
Boltzmann-grad limit for a particle system in continuum
Boundedness of one-dimensional branching Markov processes.
Bounding a random environment bounding a random environment for two-dimensional edge-reinforced random walk.
Bounds on the critical exponents of disordered ferromagnetic models
Branching and interacting particle systems. Approximations of Feynman-Kac formulae with applications to non-linear filtering
Branching processes, and random-cluster measures on trees
Random-cluster measures on infinite regular trees are studied in conjunction with a general type of ‘boundary condition’, namely an equivalence relation on the set of infinite paths of the tree. The uniqueness and non-uniqueness of random-cluster measures are explored for certain classes of equivalence relations. In proving uniqueness, the following problem concerning branching processes is encountered and answered. Consider bond percolation on the family-tree of a branching process. What is the...
Branching processes, random trees and superprocesses.
Branching random walk with catalysts.
Brownian dynamics of globules.
Brownian particles with electrostatic repulsion on the circle : Dyson’s model for unitary random matrices revisited
The brownian motion model introduced by Dyson [7] for the eigenvalues of unitary random matrices is interpreted as a system of interacting brownian particles on the circle with electrostatic inter-particles repulsion. The aim of this paper is to define the finite particle system in a general setting including collisions between particles. Then, we study the behaviour of this system when the number of particles goes to infinity (through the empirical measure process). We prove that a limiting...
Brownian particles with electrostatic repulsion on the circle: Dyson's model for unitary random matrices revisited
The Brownian motion model introduced by Dyson [7] for the eigenvalues of unitary random matrices N x N is interpreted as a system of N interacting Brownian particles on the circle with electrostatic inter-particles repulsion. The aim of this paper is to define the finite particle system in a general setting including collisions between particles. Then, we study the behaviour of this system when the number of particles N goes to infinity (through the empirical measure process). We prove...