Invariant Radon measures for Unipotent flows and products of Kleinian groups

Abstract

Let $G= \textrm {PSL}_2(\mathbb {F})$ where $\mathbb {F}= \mathbb {R} , \mathbb {C}$, and consider the space $Z=(\Gamma _1 \times \Gamma _2)\backslash (G\times G)$ where $\Gamma _1<G$ is a co-compact lattice and $\Gamma _2<G$ is a geometrically finite discrete Zariski dense subgroup. For a horospherical subgroup $N$ of $G$, we classify all ergodic, conservative, invariant Radon measures on $Z$ for the diagonal $N$-action.

Locations

• Proceedings of the American Mathematical Society - View
• arXiv (Cornell University) - View - PDF