On the Hausdorff dimension of subsets in the limit set of a Fuchsian group

In a Fuchsian group, certain subsets have a strong relationship with the entropy of subgroups. The aim of this talk is to present results on the subject and to provide tangible examples. To do so, we will first look at the set of diverging on average limit points and its Hausdorff dimension. Then we will give a coding of such limit points for a Schottky group.