3 papers
math.DS2015
Affinely prime dynamical systems
Hillel Furstenberg, Eli Glasner, Benjamin Weiss
We study representations of groups by "affine" automorphisms of compact, convex spaces, with special focus on "irreducible" representations: equivalently "minimal" actions. When th…
math.DS2011
Recurrence for stationary group actions
Hillel Furstenberg, Eli Glasner
Using a structure theorem from [FG2010] we prove a version of multiple recurrence for sets of positive measure in a general stationary dynamical system.
math.DS2009
Stationary dynamical systems
Hillel Furstenberg, Eli Glasner
Following works of Furstenberg and Nevo and Zimmer we present an outline of a theory of stationary (or m-stationary) dynamical systems for a general acting group G equipped with a…