文章基本信息

标题：Visibility in the vacant set of the Brownian interlacements and the Brownian excursion process
本地全文：下载
作者：Olof Elias ; Johan Tykesson
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2019
卷号：XVI
期号：2
页码：1007-1028
DOI：10.30757/ALEA.v16-36
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider the Brownian interlacements model in Euclidean space,introduced by Sznitman (2013). We give estimates for the asymptotics of the visibilityin the vacant set. We also consider visibility inside the vacant set of theBrownian excursion process in the unit disc and show that it undergoes a phasetransition regarding visibility to innity as in Benjamini et al. (2009). Additionally,we determine the critical value and that there is no visibility to innity at thecritical intensity.
关键词：Brownian interlacements; Brownian excursions; Visibility;