The Annals of Probability

Brownian Excursions and Minimal Thinness. I

Krzysztof Burdzy

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Abstract

Integral-type criteria for thinness and minimal thinness are given for a class of sets. A Kolmogorov-type criterion for Brownian excursions is obtained as a corollary.

Article information

Source
Ann. Probab., Volume 15, Number 2 (1987), 676-689.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176992165

Digital Object Identifier
doi:10.1214/aop/1176992165

Mathematical Reviews number (MathSciNet)
MR885137

Zentralblatt MATH identifier
0656.60051

JSTOR
links.jstor.org

Subjects
Primary: 60G17: Sample path properties
Secondary: 60J65: Brownian motion [See also 58J65] 31B25: Boundary behavior 60J50: Boundary theory

Keywords
Brownian excursions Brownian motion excursions minimal thin sets Wiener's test

Citation

Burdzy, Krzysztof. Brownian Excursions and Minimal Thinness. I. Ann. Probab. 15 (1987), no. 2, 676--689. doi:10.1214/aop/1176992165. https://projecteuclid.org/euclid.aop/1176992165


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