Published Paper
Inserted: 10 feb 2020
Journal: Journal of Fractal Geometry
Volume: 6
Number: 4
Pages: 343-366
Year: 2019
Doi: 10.4171/JFG
Links:
Link to the paper
Abstract:
If $n \geq 3$ and $\Gamma$ is a convex-cocompact Zariski-dense discrete subgroup of $\mathbf{SO}^o (1,n+1)$ such that $\delta_\Gamma = n-m$ where $m$ is an integer, $1 \leq m \leq n-1$, we show that for any $m$-dimensional subgroup $U$ in the horospheric group $N$, the Burger–Roblin measure associated to $\Gamma$ on the quotient of the frame bundle is $U$-recurrent.
Tags:
GeoMeG
Keywords:
Patterson-Sullivan measure, Kleinian groups, Recurrence