5 papers · 1 filter
Limiting distribution of particles near the frontier in the catalytic branching Brownian motion
Sergey Bocharov
We consider the model of branching Brownian motion with a single catalytic point at the origin and binary branching. We establish some fine results for the asymptotic behaviour of…
Branching Brownian Motion with spatially-homogeneous and point-catalytic branching
Sergey Bocharov, Li Wang
We consider a model of Branching Brownian Motion in which the usual spatially-homogeneous and catalytic branching at a single point are simultaneously present. We establish the alm…
Limiting Distribution of the Rightmost Particle in Catalytic Branching Brownian Motion
Sergey Bocharov, Simon C. Harris
We study the model of binary branching Brownian motion with spatially-inhomogeneous branching rate , where is the Dirac delta function and is some pos…
Branching Brownian Motion with catalytic branching at the origin
Sergey Bocharov, Simon C. Harris
We consider a branching Brownian motion in which binary fission takes place only when particles are at the origin at a rate β> 0 on the local time scale. We obtain results regardin…
Branching Random Walk in an inhomogeneous breeding potential
Sergey Bocharov, Simon C. Harris
We consider a continuous-time branching random walk in the inhomogeneous breeding potential , where , . We prove that the population almost surely explodes…