Quantitative properties of convex representations

Andrés Sambarino

Let $\Gamma$ be a discrete subgroup of $\text{PGL}(d,\mathbb{R})$ and fix some euclidean norm $\Vert \Vert$ on ${\mathbb{R}}^d.$ Let $N_{\Gamma }(t)$ be the number of elements in $\Gamma$ whose operator norm is $\leq t.…