Critical Attractive Spin Systems
Carol Bezuidenhout and Lawrence Gray
Source: Ann. Probab. Volume 22, Number 3
(1994), 1160-1194.
Abstract
We study a class of attractive spin systems. We prove that for these processes the system dies out when the parameters are on the critical surface. We also prove that the supercritical process survives with positive probability in a sufficiently thick space-time "slab."
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Permanent link to this document: http://projecteuclid.org/euclid.aop/1176988599
JSTOR: links.jstor.org
Digital Object Identifier: doi:10.1214/aop/1176988599
Mathematical Reviews number (MathSciNet): MR1303641
Zentralblatt MATH identifier: 0819.60094
