TRIANGLE CONDITION FOR ORIENTED PERCOLATION IN HIGH DIMENSIONS

Authors
NGUYEN BG YANG WS
Citation
Bg. Nguyen et Ws. Yang, TRIANGLE CONDITION FOR ORIENTED PERCOLATION IN HIGH DIMENSIONS, Annals of probability, 21(4), 1993, pp. 1809-1844
Citations number
22
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annals of probability → ACNP
ISSN journal
00911798
Volume
21
Issue
4
Year of publication
1993
Pages
1809 - 1844
Database
ISI
SICI code
0091-1798(1993)21:4<1809:TCFOPI>2.0.ZU;2-3
Abstract
In this paper, we apply the Brydges-Spencer lace expansion and the Har a-Slade analysis to obtain the triangle condition for the nearest-neig hbor oriented bond percolation in high dimensions and for the spread-o ut 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.