Directional Behavior for Two-variable Commuting Actions
Oct 18 2012 – 3:00pm – 3:50 pm
Joe Rosenblatt (University of Illinois, Department of Mathematics)
Directional ergodicity and directional weak mixing of the action of two commuting transformations S and T can be analyzed by looking at extensions in which S and T are embedded in a two real variable flow. For a suitable class of extensions, the directional behavior observed is determined not by the extension itself, but by intrinsic spectral properties of the original action by S and T.