The incipient infinite cluster in high-dimensional percolation

Details The incipient infinite cluster in high-dimensional percolation The incipient infinite cluster in high-dimensional percolation

1998-05-27

arxiv.org/abs/math-ph/9805023v1

ERA Amer. Math. Soc. 4 (1998), pp.48-55

Physics

Mathematical Physics

AMS-LaTeX, 8 pages, no figures; To appear in Electronic Research Announcements of the AMS, Volume 4, (1998). http://www.ams.or

Scientific paper

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.

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