Equidistribution of lattice orbits in the space of homothety classes of rank $2$ sublattices in ${\mathbb{R}}^3$

Michael Bersudsky, Hao Xing

We study the distribution of orbits of a lattice $\Gamma \le \text{SL}(3,\mathbb{R})$ in the moduli space $X_{2,3}$ of covolume one rank-two discrete subgroups in ${\mathbb{R}}^3$. Each orbi…