Near-critical survival probability of branching Brownian motion with an absorbing barrier

Monday 7th November 2011 – 15:45 to 16:45

Speaker: Simon Harris (University of Bath)

We will consider a branching Brownian motion where particles have a drift $-\rho$, binary branch at rate $\beta$ and are killed if they hit the origin. This process is supercritical if $\beta>\rho^2/2$ and we will discuss the survival probability in the regime as criticality is approached. (Joint work with Elie Aidekon)

Part of the Stochastic Analysis Seminar Series