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Branching Brownian motion with an inhomogeneous breeding potential
This article concerns branching Brownian motion (BBM) with dyadic branching at rate beta vertical bar y vertical bar(p) for a particle with spatial position y is an element of R, where beta > 0. It is known that for p > 2...
The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential
In this note we consider a branching Brownian motion (BBM) on R in which a particle at spatial position y splits into two at rate beta y(2), where beta > 0 is a constant. This is a critical breeding rate for BBM in the sense...
Branching Brownian motion with an inhomogeneous breeding potential
This article concerns branching Brownian motion (BBM) with dyadic branching at rate beta vertical bar y vertical bar(p) for a particle with spatial position y is an element of R, where beta > 0. It is known that for p > 2...
Branching brownian motion in a strip
We consider a branching Brownian motion with linear drift in which particles are killed on exiting the interval (0,K) and study the evolution of the process on the event of survival as the width of the interval shrinks to the...
Branching brownian motion in a strip
We consider a branching Brownian motion with linear drift in which particles are killed on exiting the interval (0,K) and study the evolution of the process on the event of survival as the width of the interval shrinks to the...
The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential
In this note we consider a branching Brownian motion (BBM) on R in which a particle at spatial position y splits into two at rate beta y(2), where beta > 0 is a constant. This is a critical breeding rate for BBM in the sense...
Fine asymptotics for the consistent maximal displacement of branching brownian motion
Matthew Iain Roberts
Mar 13, 2015
Ipt is well-known that the maximal particle in a branching Brownian motion sits near (Formula-Presented)log t at time t. One may then ask about the paths of particles near the frontier: how close can they stay to this...
Fine asymptotics for the consistent maximal displacement of branching brownian motion
Matthew Iain Roberts
Mar 13, 2015
Ipt is well-known that the maximal particle in a branching Brownian motion sits near (Formula-Presented)log t at time t. One may then ask about the paths of particles near the frontier: how close can they stay to this...