The incipient infinite cluster in high-dimensional percolation

Takashi Hara, Gordon Slade

研究成果: ジャーナルへの寄稿記事

10 引用 (Scopus)

抄録

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.

元の言語英語
ページ(範囲)48-55
ページ数8
ジャーナルElectronic Research Announcements of the American Mathematical Society
4
発行部数8
DOI
出版物ステータス出版済み - 7 31 1998

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High-dimensional
Lace Expansion
Brownian Excursion
Scaling Limit
Higher Dimensions

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

The incipient infinite cluster in high-dimensional percolation. / Hara, Takashi; Slade, Gordon.

:: Electronic Research Announcements of the American Mathematical Society, 巻 4, 番号 8, 31.07.1998, p. 48-55.

研究成果: ジャーナルへの寄稿記事

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