Geodesic
The incipient infinite cluster in high-dimensional percolation
Hara, Takashi1 ; Slade, Gordon2
1 Department of Applied Physics, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152, Japan
2 Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K1
Electronic research announcements of the American Mathematical Society, Tome 04 (1998), pp. 48-55.

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S1079-6762-98-00046-8

Hara, Takashi 1 ; Slade, Gordon 2

1 Department of Applied Physics, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152, Japan
2 Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K1 
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Hara, Takashi; Slade, Gordon. The incipient infinite cluster in high-dimensional percolation. Electronic research announcements of the American Mathematical Society, Tome 04 (1998), pp. 48-55. doi : 10.1090/S1079-6762-98-00046-8. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-98-00046-8/

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