Abstract
Let $G$ be any connected semisimple Lie group of real rank 1 with finite center, let $\Gamma$ be any non-uniform lattice in $G$ and $a$ any diagonalizable element in $G$. We investigate the relation between the metric entropy of $a$ acting on the homogeneous space $\Gamma\backslash G$ and escape of mass. Moreover, we provide bounds on the escaping mass.
| Translated title of the contribution | Escape of mass and entropy for diagonal flows in real rank one situations |
|---|---|
| Original language | English |
| Pages (from-to) | 245–295 |
| Number of pages | 24 |
| Journal | Israel Journal of Mathematics |
| DOIs | |
| Publication status | Published - 2012 |