ALMOST-SURE PATH PROPERTIES OF (2,D,BETA)-SUPERPROCESSES

Authors
DAWSON DA VINOGRADOV V
Citation
Da. Dawson et V. Vinogradov, ALMOST-SURE PATH PROPERTIES OF (2,D,BETA)-SUPERPROCESSES, Stochastic processes and their applications, 51(2), 1994, pp. 221-258
Citations number
29
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Stochastic processes and their applications → ACNP
ISSN journal
03044149
Volume
51
Issue
2
Year of publication
1994
Pages
221 - 258
Database
ISI
SICI code
0304-4149(1994)51:2<221:APPO(>2.0.ZU;2-J
Abstract
We obtain exact almost-sure estimates for the short-time propagation o f the closed support of (2, d, beta)-superprocesses. Upper estimates a re derived by solving a certain singular non-linear evolution equation , whereas lower estimates are obtained by the use of the branching-par ticle-system approximation.