IJPAM: Volume 55, No. 2 (2009)

ON THE USE OF THE LAPLACE FUNCTIONAL
FOR TWO-LEVEL BRANCHING SYSTEMS

Kenneth J. Hochberg$^1$, Andreas Greven$^2$
$^1$Department of Mathematics
Bar-Ilan University
Ramat-Gan, 52900, ISRAEL
e-mail: [email protected]
$^2$Mathematisches Institut
Universität Erlangen-Nürnberg
Bismarckstraße 1 1/2, Erlangen, D-91054, GERMANY
e-mail: [email protected]


Abstract.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 superprocesses is described.

Received: February 11, 2008

AMS Subject Classification: 60K35, 60G57

Key Words and Phrases: branching process, superprocess, multilevel branching

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 2