Hausdorff dimension of directional limit sets for self-joinings of hyperbolic manifolds

Dongryul M. Kim, Yair Minsky, Hee Oh

The classical result of Patterson and Sullivan says that for a non-elementary convex cocompact subgroup $\Gamma <{\text{SO}}^{\circ }(n,1)$, $n\ge 2$, the Hausdorff dimension of the limit se…