arXiv subjects
Publications and source records attributed to Ruibo Kou.
It is known that the point set process of the Brownian net is almost surely locally finite for all deterministic time, and there are random times that break this locally finiteness property. It is shown in this paper that the set of such random times has Hausdorff dimension 1/2 almost surely.
We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on $\mathbb{R}$ with pairwise immigration. A pair of reflecting or absorbing walls placed in such a vacuum at separation $L$ experiences an attractive force which decays exponentially with $L$. This phenomenon can be regarded as a purely classical Casimir effect for a system of interacting Brownian motions.