The incipient infinite cluster in high-dimensional percolation

Authors
Hara, T Slade, G
Citation
T. Hara et G. Slade, The incipient infinite cluster in high-dimensional percolation, EL RES A AM, 4, 1998, pp. 48-55
Citations number
24
Categorie Soggetti
Mathematics
Journal title
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
10796762 → ACNP
Volume
4
Year of publication
1998
Pages
48 - 55
Database
ISI
SICI code
1079-6762(1998)4:<48:TIICIH>2.0.ZU;2-C
Abstract
We announce our recent proof that, for independent bond percolation in high dimensions, the scaling limits of the incipient infinite cluster's two-poi nt and three-point functions are those of integrated super-Brownian excursi on (ISE). The proof uses an extension of the lace expansion for percolation .