Critical branching diffusions in bounded domains (Ellen Powell, University of Cambridge, UK)

27.02.2017 15:15 – 17:15

I will discuss branching diffusions in a bounded domain D in which particles are killed upon hitting the boundary. It is known that any such process undergoes a phase transition when the branching rate reaches a critical value: the first eigenvalue of the generator of the diffusion. I will consider various properties of the critical system, including the structure of the associated genealogical tree. When the system is conditioned to survive for a long time, it turns out that this tree converges to the Brownian CRT.

Lieu

Room 17 15:15-16:00 & 16:30-17:15, Séminaire "Mathématique Physique"

entrée libre