Thresholds in the Lattice of Subspaces of $({\mathbb{F}}_q{)}^n$

Benjamin Rossman

Let $Q$ be an ideal (downward-closed set) in the lattice of linear subspaces of $({\mathbb{F}}_q{)}^n$, ordered by inclusion. For $0\le k\le n$, let ${\mu }_k(Q)$ denote the fraction of $k…