TRIANGLE CONDITION FOR ORIENTED PERCOLATION IN HIGH DIMENSIONS

• 成果类型: Article
• 署名作者: NGUYEN, BG; YANG, WS
• 署名单位: Pennsylvania Commonwealth System of Higher Education (PCSHE); Temple University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989001
• 发表日期: 1993
• 页码: 1809-1844
• 关键词: field critical-behavior; SELF-AVOIDING WALK; critical exponents; inequalities; models

摘要

In this paper, we apply the Brydges-Spencer lace expansion and the Hara-Slade analysis to obtain the triangle condition for the nearest-neighbor oriented bond percolation in high dimensions and for the spread-out oriented bond percolation in Z(d) X Z, d greater than or equal to 5. Furthermore, we also establish the infrared bound in the subcritical region and the mean-field behavior for these models.