Open Access
July, 1994 Critical Attractive Spin Systems
Carol Bezuidenhout, Lawrence Gray
Ann. Probab. 22(3): 1160-1194 (July, 1994). DOI: 10.1214/aop/1176988599

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."

Citation

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Carol Bezuidenhout. Lawrence Gray. "Critical Attractive Spin Systems." Ann. Probab. 22 (3) 1160 - 1194, July, 1994. https://doi.org/10.1214/aop/1176988599

Information

Published: July, 1994
First available in Project Euclid: 19 April 2007

zbMATH: 0819.60094
MathSciNet: MR1303641
Digital Object Identifier: 10.1214/aop/1176988599

Subjects:
Primary: 60K35

Keywords: attractive spin systems , Critical phenomena

Rights: Copyright © 1994 Institute of Mathematical Statistics

Vol.22 • No. 3 • July, 1994
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