Limiting distribution of dense orbits in a moduli space of rank $m$ discrete subgroups in $(m+1)$-space

Michael Bersudsky, Hao Xing

We study the limiting distribution of dense orbits of a lattice subgroup $\Gamma \le \text{SL}(m+1,\mathbb{R})$ acting on $H\backslash \text{SL}(m+1,\mathbb{R})$, with respect to a filtra…