The dimension of the SLE curves

被引：138

作者：

Beffara, Vincent ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, UMPA, CNRS, UMR 5669, F-69364 Lyon 07, France

来源：

ANNALS OF PROBABILITY | 2008年 / 36卷 / 04期

关键词：

SLE; Hausdorff dimension;

D O I：

10.1214/07-AOP364

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：

Let gamma be the curve generating a Schramm-Loewner Evolution (SLE) process, with parameter kappa >= 0. We prove that, with probability one, the Hausdorff dimension of gamma is equal to Min(2, 1 + kappa/8).

引用

页码：1421 / 1452

页数：32

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