2 problems

Let $\Lambda$ be a random lattice drawn from the Haar distribution, let $\mathcal B$ be a measurable subset of the ambient space with nonempty interior, and let $Y$ denote the Pois…

Let $\mathcal B\subseteq\bR^n$ be a sufficiently small set, and let $\Lambda$ be drawn from the Haar distribution on lattices. The random variable $|\Lambda\cap\mathcal B|$ counts…