The incipient infinite cluster in high-dimensional percolation
Hara, Takashi ; Slade, Gordon
arXiv, 9805023 / Harvested from arXiv
Text on arXiv
We announce our recent proof that, for independent bond percolation in high dimensions, the scaling limits of the incipient infinite cluster's two-point and three-point functions are those of integrated super-Brownian excursion (ISE). The proof uses an extension of the lace expansion for percolation.
Publié le : 1998-05-27
Classification:  Mathematical Physics,  Mathematics - Probability,  82B43,  60K35 
@article{9805023,
     author = {Hara, Takashi and Slade, Gordon},
     title = {The incipient infinite cluster in high-dimensional percolation},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805023}
}

Hara, Takashi; Slade, Gordon. The incipient infinite cluster in high-dimensional percolation. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805023/