On the use of the Laplace functional for two-level branching systems

Kenneth J. Hochberg; Andreas Greven

On the use of the Laplace functional for two-level branching systems

Kenneth J. Hochberg
, Andreas Greven

Department of Mathematics

Friedrich-Alexander University Erlangen-Nürnberg

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 super processes is described.

Original language	English
Pages (from-to)	165-172
Number of pages	8
Journal	International Journal of Pure and Applied Mathematics
Volume	55
Issue number	2
State	Published - 2009

Keywords

Branching process
Multilevel branching
Superprocess

Cite this

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On the use of the Laplace functional for two-level branching systems

Abstract

Keywords

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