The Annals of Probability

Critical Attractive Spin Systems

Carol Bezuidenhout and Lawrence Gray

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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."

Article information

Source
Ann. Probab., Volume 22, Number 3 (1994), 1160-1194.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176988599

Digital Object Identifier
doi:10.1214/aop/1176988599

Mathematical Reviews number (MathSciNet)
MR1303641

Zentralblatt MATH identifier
0819.60094

JSTOR
links.jstor.org

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Keywords
Attractive spin systems critical phenomena

Citation

Bezuidenhout, Carol; Gray, Lawrence. Critical Attractive Spin Systems. Ann. Probab. 22 (1994), no. 3, 1160--1194. doi:10.1214/aop/1176988599. https://projecteuclid.org/euclid.aop/1176988599


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