The scaling limit of lattice trees in high dimensions

被引：56

作者：

Derbez, E ^{[1
]}

Slade, G ^{[1
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1998年 / 193卷 / 01期

关键词：

D O I：

10.1007/s002200050319

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that above eight dimensions the scaling limit of sufficiently spread-out lattice trees is the variant of super-Brownian motion known as integrated super-Brownian excursion (ISE), as conjectured by Aldous. The same is true for nearest-neighbour lattice trees in sufficiently high dimensions. The proof uses the lace expansion.

引用

页码：69 / 104

页数：36

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