文章基本信息

标题：Where does a random process hit a fractal barrier?
本地全文：下载
作者：Itai Benjamini ; Alexander Shamov
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2018
卷号：23
DOI：10.1214/18-ECP131
语种：English
出版社：Electronic Communications in Probability
摘要：Given a Brownian path $\beta (t)$ on $\mathbb{R} $, starting at $1$, a.s. there is a singular time set $T_{\beta }$, such that the first hitting time of $\beta $ by an independent Brownian motion, starting at $0$, is in $T_{\beta }$ with probability one. A couple of problems regarding hitting measure for random processes are presented.