No triple point of planar Brownian motion is accessible

No triple point of planar Brownian motion is accessible

Krzysztof Burdzy and Wendelin Werner

Source: Ann. Probab. Volume 24, Number 1 (1996), 125-147.

Abstract

We show that the boundary of a connected component of the complement of a planar Brownian path on a fixed time interval contains almost surely no triple point of this Brownian path.

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Primary Subjects: 60J65

Keywords: Brownian motion; triple points

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aop/1042644710
Mathematical Reviews number (MathSciNet): MR1387629
Digital Object Identifier: doi:10.1214/aop/1042644710
Zentralblatt MATH identifier: 0860.60063

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STATISTICAL LABORATORY, D.P.M.M.S. DEPARTMENT OF MATHEMATICS UNIVERSITY OF CAMBRIDGE GN-50 16 MILL LANE UNIVERSITY OF WASHINGTON CAMBRIDGE CB2 1SB

SEATTLE, WASHINGTON 98195 UNITED KINGDOM E-mail: burdzy@math.washington.edu E-mail: wwerner@dmi.ens.fr

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