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

页码：1809 / 1844

页数：36

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