Long-range properties of spanning trees

被引：35

作者：

Kenyon, R ^{[1
]}

机构：

[1] Univ Paris Sud, Lab Topol & Dynam, UMR 8628, F-91405 Orsay, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 03期

关键词：

D O I：

10.1063/1.533190

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute some large-scale properties of the uniform spanning tree process on bounded regions in Z(2). In particular, we compute the distribution of the meeting point of the branches of the tree issued from three boundary points. We also compute the crossing probabilities of branches of the tree on rectangular and annular regions, as well as the winding number of the branches of the tree. (C) 2000 American Institute of Physics. [S0022-2488(00)00303-0].

引用

页码：1338 / 1363

页数：26

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