CRITICAL ATTRACTIVE SPIN SYSTEMS

被引：19

作者：

BEZUIDENHOUT, C ^{[1
]}

GRAY, L ^{[1
]}

机构：

[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

来源：

ANNALS OF PROBABILITY | 1994年 / 22卷 / 03期

关键词：

ATTRACTIVE SPIN SYSTEMS; CRITICAL PHENOMENA;

D O I：

10.1214/aop/1176988599

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.''

引用

页码：1160 / 1194

页数：35

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[No title captured]

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