CRITICAL ATTRACTIVE SPIN SYSTEMS

Authors
BEZUIDENHOUT C GRAY L
Citation
C. Bezuidenhout et L. Gray, CRITICAL ATTRACTIVE SPIN SYSTEMS, Annals of probability, 22(3), 1994, pp. 1160-1194
Citations number
11
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annals of probability → ACNP
ISSN journal
00911798
Volume
22
Issue
3
Year of publication
1994
Pages
1160 - 1194
Database
ISI
SICI code
0091-1798(1994)22:3<1160:CASS>2.0.ZU;2-3
Abstract
We study a class of attractive spin systems. We prove that for these p rocesses the system dies out when the parameters are on the critical s urface. We also prove that the supercritical process survives with pos itive probability in a sufficiently thick space-time ''slab.''