On convex limit sets and Brownian motion

被引：2

作者：

Kuelbs, J

Ledoux, M

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Univ Toulouse 3, Dept Math, Lab Stat & Probabil, F-31062 Toulouse, France

来源：

JOURNAL OF THEORETICAL PROBABILITY | 1998年 / 11卷 / 02期

基金：

美国国家科学基金会;

关键词：

Brownian motion; Brownian sheet; convex hull for curves in R-d; extended convex hulls; law of the iterated logarithm in Banach spaces;

D O I：

10.1023/A:1022640007525

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 limsup results for nonnegative functionals of convex sets determined by normalized Brownian paths in Banach spaces. This continues the interesting investigation of D. Khoshnevisan into this area, and relates to some classical unsolved isoperimetric problems for the convex hull of curves in R-d. Section 4 contains the solution of a problem similar to these classical problems.

引用

页码：461 / 492

页数：32

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