The Brownian loop soup

被引：0
|
作者：
Gregory F. Lawler
Wendelin Werner
机构：
[1] Department of Mathematics,Laboratoire de Mathématiques, Bât. 425
[2] Université Paris-Sud,undefined
来源：
Probability Theory and Related Fields | 2004年 / 128卷
关键词：
 Brownian loops; Conformal invariance;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define a natural conformally invariant measure on unrooted Brownian loops in the plane and study some of its properties. We relate this measure to a measure on loops rooted at a boundary point of a domain and show how this relation gives a way to ‘‘chronologically add Brownian loops’’ to simple curves in the plane.
引用
收藏
页码：565 / 588
页数：23
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