Thu, January 25, 2018
3:00 pm - 4:00 pm
Math Tower 154
Title: Generic properties of extensions
Speaker: Michael Schnurr (Max-Planck-Institut, Germany)
Abstract: Motivated by the classical results by Halmos and Rokhlin on the genericity of weakly but not strongly mixing transformations and the Furstenberg tower construction, we show that weakly but not strongly mixing extensions on a fixed product space with both measures non-atomic are generic. In particular, a generic extension does not have an intermediate nil-factor.