Branching Brownian motion with "mild" Poissonian obstacles
| dc.creator | Englander, Janos | |
| dc.date | 2005-08-29 | |
| dc.date.accessioned | 2026-07-07T05:22:47Z | |
| dc.date.available | 2026-07-07T05:22:47Z | |
| dc.description | We study a spatial branching model, where the underlying motion is Brownian motion and the branching is affected by a random collection of reproduction blocking sets called "mild" obstacles. We show that the quenched local growth rate is given by the branching rate in the `free' region . When the underlying motion is an arbitrary diffusion process, we obtain a dichotomy for the local growth that is independent of the Poissonian intensity. Finally, and most importantly, we obtain the asymptotics (in probability) of the quenched (when $d\le 2$) and the annealed (arbitrary d) global growth rates, and identify subexponential correction terms. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508585 | |
| dc.identifier | http://arxiv.org/abs/math/0508585 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76194 | |
| dc.subject | Probability | |
| dc.subject | 60J65 (primary) 60J80, 60F10 (secondary:) | |
| dc.title | Branching Brownian motion with "mild" Poissonian obstacles | |
| dc.type | text |