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A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds
We provide a new proof of the fact that the horospherical group N<G=SO o (d,1) acting on the frame bundle Γ∖G of a hyperbolic manifold admits a unique invariant ergodic measure (up to multiplicative constants) supported on the set of frames whose orbit under the geodesic flow comes back infinitely …