Clustering of the critical branching process on the plane

Authors
Revesz, P
Citation
P. Revesz, Clustering of the critical branching process on the plane, ST SCI M H, 38, 2001, pp. 357-366
Citations number
2
Categorie Soggetti
Mathematics
Journal title
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
ISSN journal
00816906 → ACNP
Volume
38
Year of publication
2001
Pages
357 - 366
Database
ISI
SICI code
0081-6906(2001)38:<357:COTCBP>2.0.ZU;2-S
Abstract
Let Pi be a Poisson random field in R-d. At time t=0 a critical branching W iener process is starting from each P is an element of Pi. It turns out tha t after a time the particles will be located in dense, small clusters and b etween these clusters empty domains are located.