Limit distributions for $\text{SO}(n,1)$ action on $k$-lattices in ${\mathbb{R}}^{n+1}$

Michael Bersudsky, Nimish A. Shah

We study the asymptotic distribution of norm ball averages along orbits of a lattice $\Gamma \subset \text{SO}(n,1)$ acting on the moduli space of pairs of orthogonal discrete subgroups…