Open Access
January 1996 No triple point of planar Brownian motion is accessible
Krzysztof Burdzy, Wendelin Werner
Ann. Probab. 24(1): 125-147 (January 1996). DOI: 10.1214/aop/1042644710
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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STATISTICAL LABORATORY, D.P.M.M.S. DEPARTMENT OF MATHEMATICS UNIVERSITY OF CAMBRIDGE GN-50 16 MILL LANE UNIVERSITY OF WASHINGTON CAMBRIDGE CB2 1SB STATISTICAL LABORATORY, D.P.M.M.S. DEPARTMENT OF MATHEMATICS UNIVERSITY OF CAMBRIDGE GN-50 16 MILL LANE UNIVERSITY OF WASHINGTON CAMBRIDGE CB2 1SB

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SEATTLE, WASHINGTON 98195 UNITED KINGDOM E-mail: burdzy@math.washington.edu E-mail: wwerner@dmi.ens.frSEATTLE, WASHINGTON 98195 UNITED KINGDOM E-mail: burdzy@math.washington.edu E-mail: wwerner@dmi.ens.fr
Copyright © 1996 Institute of Mathematical Statistics
Krzysztof Burdzy and Wendelin Werner "No triple point of planar Brownian motion is accessible," The Annals of Probability 24(1), 125-147, (January 1996). https://doi.org/10.1214/aop/1042644710
Published: January 1996
Vol.24 • No. 1 • January 1996
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