Distribution of orbits of geometrically finite groups

We often seek to understand a group through the distribution of its orbits on a given space. In particular, the distribution of lattice orbits has been studied intensively in a variety of groups. In this talk we will discuss the distribution of orbits of geometrically finite groups acting on the light cone. We will see what can be said about the distribution, and how it relates to the distribution of the horospherical orbits in the frame bundle of certain infinite volume hyperbolic manifolds. This is a joint work with Jacqueline Warren.