The Hausdorff Dimension of the Double Points on the Brownian Frontier

被引：1

作者：

Kiefer, Richard ^{[2
]}

Moerters, Peter ^{[1
]}

机构：

[1] Univ Bath, Sch Math Sci, Bath BA2 7AY, Avon, England

[2] RWE Power AG, D-45141 Essen, Germany

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2010年 / 23卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Brownian motion; Self-intersections; Double points; Frontier; Outer boundary; Disconnection exponent; Mandelbrot conjecture; Hausdorff dimension; MOTION;

D O I：

10.1007/s10959-009-0262-2

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：

The frontier of a planar Brownian motion is the boundary of the unbounded component of the complement of its range. In this paper, we find the Hausdorff dimension of the set of double points on the frontier.

引用

页码：605 / 623

页数：19

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