Triangle Condition for Oriented Percolation in High Dimensions
Nguyen, Bao Gia ; Yang, Wei-Shih
Ann. Probab., Tome 21 (1993) no. 4, p. 1809-1844 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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 $Z^d \times Z, d \geq 5$. Furthermore, we also establish the infrared bound in the subcritical region and the mean-field behavior for these models.
Publié le : 1993-10-14
Classification:  Lace expansion,  triangle condition,  infrared bound,  oriented percolation,  mean-field behavior,  60K35,  82A25 
@article{1176989001,
     author = {Nguyen, Bao Gia and Yang, Wei-Shih},
     title = {Triangle Condition for Oriented Percolation in High Dimensions},
     journal = {Ann. Probab.},
     volume = {21},
     number = {4},
     year = {1993},
     pages = { 1809-1844},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176989001}
}

Nguyen, Bao Gia; Yang, Wei-Shih. Triangle Condition for Oriented Percolation in High Dimensions. Ann. Probab., Tome 21 (1993) no. 4, pp.  1809-1844. http://gdmltest.u-ga.fr/item/1176989001/