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It is well known that a geometrically finite hyperbolic manifold (quotient of $H^n$) has finite Bowen-Margulis measure. Marc Peigné [1] constructed examples of geometrically infinite hyperbolic ...

Let $X$ be a proper $CAT(-1)$ space. Let $\Gamma<Isom(X)$ be a subgroup of divergence type. Is it true that the Hausdorff dimension of the radial limit set of $\Gamma$ in $\partial X$ is equal to ...