Geometric density for invariant random subgroups of groups acting on   CAT(0) spaces
  We prove that an IRS of a group with a geometrically dense action on a CAT(0) space also acts geometrically densely; assuming the space is either of finite telescopic dimension or locally compact with finite dimensional Tits boundary. This can be thought of as a Borel density theorem for IRSs. 
Bruno Duchesne (IECL), Yair Glasner (BGUMD), Nir Lazarovich   (TECHNION), Jean L\'ecureux (LM-Orsay)
math.GR math.MG