INFINITE-SCALE PERCOLATION IN A NEW-TYPE OF BRANCHING DIFFUSION PROCESS

Authors
MEZHLUMIAN A MOLCHANOV SA
Citation
A. Mezhlumian et Sa. Molchanov, INFINITE-SCALE PERCOLATION IN A NEW-TYPE OF BRANCHING DIFFUSION PROCESS, Journal of statistical physics, 71(3-4), 1993, pp. 799-816
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
71
Issue
3-4
Year of publication
1993
Pages
799 - 816
Database
ISI
SICI code
0022-4715(1993)71:3-4<799:IPIANO>2.0.ZU;2-C
Abstract
We give an account and (basically) a solution of a new class of proble ms synthesizing percolation theory and branching diffusion processes. They lead to a novel type of stochastic process, namely branching proc esses with diffusion on the space of parameters distinguishing the bra nching ''particles'' from each other.