CRITICAL ATTRACTIVE SPIN SYSTEMS

• 成果类型: Article
• 署名作者: BEZUIDENHOUT, C; GRAY, L
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988599
• 发表日期: 1994
• 页码: 1160-1194
• 关键词: percolation

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.''