Consider a finite system of rank-based competing Brownian particles, where the drift and diffusion of each particle depend only on its current rank relative to other particles. We present a simple sufficient condition for absence of multiple collisions of a given order, continuing the earlier work by Bruggeman and Sarantsev (2015). Unlike in that paper, this new condition works even for infinite systems
We introduce and study analytically and numerically a simple model of inter-agent competition, where...
We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms i...
. Let n particles move in standard Brownian motion in one dimension, with the process terminating if...
Consider a finite system of rank-based competing Brownian particles, where the drift and diffusion o...
Thesis (Ph.D.)--University of Washington, 2015Consider a finite system of N Brownian particles on th...
Brownian particles in electrostatic interaction may pairwise collide when the interaction parameter ...
Abstract. We study systems of Brownian particles on the real line, which interact by splitting the l...
Two-sided infinite systems of Brownian particles with rank-dependent dynamics, indexed by all intege...
Abstract. We study two-type branching random walks in which the the birth or death rate of each type...
We study systems of three interacting particles, in which drifts and variances are assigned by rank....
We consider a one-dimensional discrete particle system of two species coupled through nonlocal inter...
Abstract. We study the joint asymptotic behavior of spacings between particles at the edge of multil...
The Brownian motion model introduced by Dyson [7] for the eigenvalues of unitary random matrices N ...
Stochastic models of diffusion with excluded-volume effects are used to model many biological and ph...
Stochastic models of diffusion with excluded-volume effects are used to model many biological and ph...
We introduce and study analytically and numerically a simple model of inter-agent competition, where...
We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms i...
. Let n particles move in standard Brownian motion in one dimension, with the process terminating if...
Consider a finite system of rank-based competing Brownian particles, where the drift and diffusion o...
Thesis (Ph.D.)--University of Washington, 2015Consider a finite system of N Brownian particles on th...
Brownian particles in electrostatic interaction may pairwise collide when the interaction parameter ...
Abstract. We study systems of Brownian particles on the real line, which interact by splitting the l...
Two-sided infinite systems of Brownian particles with rank-dependent dynamics, indexed by all intege...
Abstract. We study two-type branching random walks in which the the birth or death rate of each type...
We study systems of three interacting particles, in which drifts and variances are assigned by rank....
We consider a one-dimensional discrete particle system of two species coupled through nonlocal inter...
Abstract. We study the joint asymptotic behavior of spacings between particles at the edge of multil...
The Brownian motion model introduced by Dyson [7] for the eigenvalues of unitary random matrices N ...
Stochastic models of diffusion with excluded-volume effects are used to model many biological and ph...
Stochastic models of diffusion with excluded-volume effects are used to model many biological and ph...
We introduce and study analytically and numerically a simple model of inter-agent competition, where...
We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms i...
. Let n particles move in standard Brownian motion in one dimension, with the process terminating if...