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{1176992165,
author = {Burdzy, Krzysztof},
title = {Brownian Excursions and Minimal Thinness. I},
journal = {Ann. Probab.},
volume = {15},
number = {4},
year = {1987},
pages = { 676-689},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992165}
}
Burdzy, Krzysztof. Brownian Excursions and Minimal Thinness. I. Ann. Probab., Tome 15 (1987) no. 4, pp. 676-689. http://gdmltest.u-ga.fr/item/1176992165/