The incipient infinite cluster in high-dimensional percolation
arXiv:math-ph/9805023
Abstract
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.
AMS-LaTeX, 8 pages, no figures; To appear in Electronic Research Announcements of the AMS, Volume 4, (1998). http://www.ams.org/era/