TY - JOUR
T1 - Branching random walk in an inhomogeneous breeding potential
AU - Bocharov, Sergey
AU - Harris, Simon C.
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2014.
PY - 2014
Y1 - 2014
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
U2 - 10.1007/978-3-319-11970-0_1
DO - 10.1007/978-3-319-11970-0_1
M3 - Article
AN - SCOPUS:84926679217
SN - 0075-8434
VL - 2123
SP - 1
EP - 32
JO - Lecture Notes in Mathematics
JF - Lecture Notes in Mathematics
ER -