Intersection exponents for planar Brownian motion

被引：40

作者：

Lawler, GF

Werner, W

机构：

[1] Duke Univ, Dept Math, Durham, NC 27708 USA

[2] Univ Paris 11, Dept Math, F-91405 Orsay, France

来源：

ANNALS OF PROBABILITY | 1999年 / 27卷 / 04期

关键词：

Brownian motion; critical exponents; conformal invariance;

D O I：

10.1214/aop/1022874810

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We derive properties concerning all intersection exponents for planar Brownian motion and we define generalized exponents that, loosely speaking, correspond to noninteger numbers of Brownian paths. Some of these properties lead to general conjectures concerning the exact value of these exponents.

引用

页码：1601 / 1642

页数：42

共 34 条

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Ahlfors L. V., 1973, McGraw-Hill Series in Higher Mathematics

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