Word Measures on $G{L}_N(q)$ and Free Group Algebras

Danielle Ernst-West, Doron Puder, Matan Seidel

Fix a finite field $K$ of order $q$ and a word $w$ in a free group $F$ on $r$ generators. A $w$-random element in $G{L}_N(K)$ is obtained by sampling $r$ independent uniformly random…