check
Or Landesberg, On Radon measures invariant under horospherical flows on geometrically infinite quotients | Einstein Institute of Mathematics

Or Landesberg, On Radon measures invariant under horospherical flows on geometrically infinite quotients

Date: 
Tue, 05/11/201914:00-15:00
Abstract:
We consider a locally finite (Radon) measure on SO(d,1)/Gamma
invariant under a horospherical subgroup of SO(d,1) where Gamma is a discrete, but not necessarily geometrically finite, subgroup. We show that whenever the measure does not observe any additional invariance properties then it must be supported on a set of points with geometrically degenerate trajectories under the corresponding contracting 1-parameter diagonalizable flow (geodesic flow). This is joint work with Elon Lindenstrauss.