Limit points badly approximable by horoballs (Q357838)

The authors consider a Gromov hyperbolic space and a set of pairwise disjoint horoballs. For a discrete subgroup of isometries, they consider the set of points that are badly approximable with respect to the horoballs and the subgroup of isometries. Their main result is that the set of badly approximable balls is absolute winning in the sense of McMullen, provided the limitset of the subgroup of isometries is uniformly perfect.