Rigidity of limit sets for nonplanar geometrically finite Kleinian   groups of the second kind
  We consider the relation between geometrically finite groups and their limit sets in infinite-dimensional hyperbolic space. Specifically, we show that a rigidity theorem of Susskind and Swarup ('92) generalizes to infinite dimensions, while a stronger rigidity theorem of Yang and Jiang ('10) does not. 
Lior Fishman, David Simmons, and Mariusz Urba\'nski
math.DS