On convex limit sets and Brownian motion (Q1266790)
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scientific article; zbMATH DE number 1208795
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On convex limit sets and Brownian motion |
scientific article; zbMATH DE number 1208795 |
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On convex limit sets and Brownian motion (English)
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12 July 1999
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The authors prove results for the supreme limit of nonnegative functionals of convex sets determined by normalized Brownian paths in Banach spaces. The present paper continues the investigation of \textit{D. Khoshnevisan} [Probab. Theory Relat. Fields 93, No. 3, 377-392 (1992; Zbl 0767.60066)] in this area. This relates also to some classical unsolved isoperimetric problems for the convex hull in \({\mathbb R}^d\). The paper contains the solution of a problem similar to these classical problems.
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Brownian motion
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Brownian sheet
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convex hull for curves in \({\mathbb{R}}^d\)
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iterated logarithm in Banach spaces
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