Some results on random unimodular lattices
Some results on random unimodular lattices
Let $n \in \mathbb {Z}_{\geq 3}$. Given any Borel subset $A$ of $\mathbb {R}^n$ with finite and nonzero measure, we prove that the probability that the set of primitive points of a random full-rank unimodular lattice in $\mathbb {R}^n$ does not contain any $\mathbb {R}$-linearly independent subset of $A$ of …