TY - JOUR
T1 - Branching random walk in an inhomogeneous breeding potential
AU - Bocharov, Sergey
AU - Harris, Simon C.
PY - 2014/10/30
Y1 - 2014/10/30
N2 - We consider a continuous-time branching random walk in the inhomogeneous breeding potential β│ │p, where β > 0, p ≥ 0. We prove that the population almost surely explodes in finite time if p > 1 and doesn’t explode if p ≤ 1. In the non-explosive cases, we determine the asymptotic behaviour of the rightmost particle.
AB - We consider a continuous-time branching random walk in the inhomogeneous breeding potential β│ │p, where β > 0, p ≥ 0. We prove that the population almost surely explodes in finite time if p > 1 and doesn’t explode if p ≤ 1. In the non-explosive cases, we determine the asymptotic behaviour of the rightmost particle.
UR - http://www.scopus.com/inward/record.url?scp=84926679217&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/978-3-319-11970-0_1
U2 - 10.1007/978-3-319-11970-0_1
DO - 10.1007/978-3-319-11970-0_1
M3 - Article
AN - SCOPUS:84926679217
SN - 1721-8766
VL - XLVI
SP - 1
EP - 32
JO - Séminaire de Probabilités
JF - Séminaire de Probabilités
ER -