Hausdorff dimensions for SLE6

被引：43

作者：

Beffara, V ^{[1
]}

机构：

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

来源：

ANNALS OF PROBABILITY | 2004年 / 32卷 / 3B期

关键词：

SLE; Hausdorff dimension;

D O I：

10.1214/009117904000000072

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 prove that the Hausdorff dimension of the trace of SLE6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler-Schramm-Werner) that the dimension of its boundary is 4/3. We also prove that, for all kappa < 8, the SLEkappa trace has cut-points.

引用

页码：2606 / 2629

页数：24

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[3]

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[4]

KAUFMAN R, 1969, CR ACAD SCI A MATH, V268, P727