Ergodicity of unipotent flows and Kleinian groups
  Let M be a non-elementary convex cocompact hyperbolic 3 manifold and delta the critical exponent of its fundamental group. We prove that a one-dimensional unipotent flow for the frame bundle of M is ergodic for the Burger-Roblin measure provided that delta>1. 
Amir Mohammadi and Hee Oh
math.DS math.GT