The incipient infinite cluster in high-dimensional percolation

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dc.creatorHara, Takashi
dc.creatorSlade, Gordon
dc.date1998-05-27
dc.date.accessioned2026-07-07T04:32:24Z
dc.date.available2026-07-07T04:32:24Z
dc.descriptionWe 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.
dc.descriptionAMS-LaTeX, 8 pages, no figures; To appear in Electronic Research Announcements of the AMS, Volume 4, (1998). http://www.ams.org/era/
dc.identifierhttps://arxiv.org/abs/math-ph/9805023
dc.identifierhttp://arxiv.org/abs/math-ph/9805023
dc.identifierERA Amer. Math. Soc. 4 (1998), pp.48-55
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58177
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82B43; 60K35
dc.titleThe incipient infinite cluster in high-dimensional percolation
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