Thursday, November 2
Time: 4:00 p.m.
Location: 114 McAllister Building
Name: Hillel Furstenberg
Affiliation: Hebrew University
Title: (G,μ)-dynamical systems: structure theory and multiple recurrence.
Abstract: A (G, μ)-dynamical system is a pair (X,ν) where X is a G-space and ν is a "stationary" probability measure on X for the measure μ on G: μ*ν = ν. We discuss some of the contexts in which these appear and pose some general questions regarding these systems. As an example we discuss a structure theorem valid for all such systems and present an application to multiple recurrence for any minimal action of G where G is the group Sl2(R).