TY - JOUR
T1 - An application of the backbone decomposition to supercritical super-Brownian motion with a barrier
AU - Kyprianou, A.E.
AU - Murillo-Salas, A.
AU - Pérez, J.L.
PY - 2012/9
Y1 - 2012/9
N2 - We analyse the behaviour of supercritical super-Brownian motion with a barrier through the pathwise backbone embedding of Berestycki, Kyprianou and Murillo-Salas (2011). In particular, by considering existing results for branching Brownian motion due to Harris and Kyprianou (2006) and Maillard (2011), we obtain, with relative ease, conclusions regarding the growth in the right-most point in the support, analytical properties of the associated one-sided Fisher-Kolmogorov-Petrovskii-Piscounov wave equation, as well as the distribution of mass on the exit measure associated with the barrier.
AB - We analyse the behaviour of supercritical super-Brownian motion with a barrier through the pathwise backbone embedding of Berestycki, Kyprianou and Murillo-Salas (2011). In particular, by considering existing results for branching Brownian motion due to Harris and Kyprianou (2006) and Maillard (2011), we obtain, with relative ease, conclusions regarding the growth in the right-most point in the support, analytical properties of the associated one-sided Fisher-Kolmogorov-Petrovskii-Piscounov wave equation, as well as the distribution of mass on the exit measure associated with the barrier.
UR - http://www.scopus.com/inward/record.url?scp=84872198077&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1239/jap/1346955325
U2 - 10.1239/jap/1346955325
DO - 10.1239/jap/1346955325
M3 - Article
AN - SCOPUS:84872198077
SN - 0021-9002
VL - 49
SP - 671
EP - 684
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 3
ER -