TY - JOUR
T1 - On the use of the Laplace functional for two-level branching systems
AU - Hochberg, Kenneth J.
AU - Greven, Andreas
PY - 2009
Y1 - 2009
N2 - The two-level superprocess arises as the high-density diffusion limit of a two-level branching Brownian motion, in which particles are grouped into superparticles in which they collectively replicate or vanish according to some branching mechanism, in addition to the motion and branching of the individual particles themselves. Here, the use of the Laplace functional in the analysis of such two-level super processes is described.
AB - The two-level superprocess arises as the high-density diffusion limit of a two-level branching Brownian motion, in which particles are grouped into superparticles in which they collectively replicate or vanish according to some branching mechanism, in addition to the motion and branching of the individual particles themselves. Here, the use of the Laplace functional in the analysis of such two-level super processes is described.
KW - Branching process
KW - Multilevel branching
KW - Superprocess
UR - http://www.scopus.com/inward/record.url?scp=78649892977&partnerID=8YFLogxK
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AN - SCOPUS:78649892977
SN - 1311-8080
VL - 55
SP - 165
EP - 172
JO - International Journal of Pure and Applied Mathematics
JF - International Journal of Pure and Applied Mathematics
IS - 2
ER -