TRIANGLE CONDITION FOR ORIENTED PERCOLATION IN HIGH DIMENSIONS

被引：44
|
作者：
NGUYEN, BG [1 ]
YANG, WS [1 ]
机构：
[1] TEMPLE UNIV,DEPT MATH,PHILADELPHIA,PA 19122
来源：
ANNALS OF PROBABILITY | 1993年 / 21卷 / 04期
关键词：
LACE EXPANSION; TRIANGLE CONDITION; INFRARED BOUND; ORIENTED PERCOLATION; MEAN-FIELD BEHAVIOR;
D O I：
10.1214/aop/1176989001
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：
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.
引用
收藏
页码：1809 / 1844
页数：36
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