Abstract
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.
Citation
Itai Benjamini. Alexander Shamov. "Where does a random process hit a fractal barrier?." Electron. Commun. Probab. 23 1 - 5, 2018. https://doi.org/10.1214/18-ECP131
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