Authors
Citation
Ts. Mountford, Existence of a constant for finite system extinction, J STAT PHYS, 96(5-6), 1999, pp. 1331-1341
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715
→ ACNP
Volume
96
Issue
5-6
Year of publication
1999
Pages
1331 - 1341
Database
ISI
SICI code
0022-4715(199909)96:5-6<1331:EOACFF>2.0.ZU;2-N
Abstract
We show the existence of a constant gamma is an element of (0, infinity) su
ch that if tau(n) is the extinction time for a supercritical contact proces
s on [1, n](d) starting from full occupancy, then { log( E[ tau(n) ] ) } /n
(d) tend to gamma as n tends to infinity.