3 problems

Let $\Gamma$ be a Kleinian group with limit set $\Lambda(\Gamma)$ of Hausdorff dimension less than $1$. The classical Schottky conjecture. The group $\Gamma$ is a Schottky-type gro…

A Schottky group is called nonclassical if it is not a classical Schottky group, and its limit set has a Hausdorff dimension. Lower-bound conjecture. The Hausdorff dimensions of no…

Fix a marking of the projective structure $\Omega/\Gamma$ on $S$ with Schottky holonomy $\rho$. Let $\mathcal{P}_\rho$ be the collection of projective structures on $S$ with holono…