Analysis Seminar
Rigidity Sequences for Rationally Ergodic Maps
Fri, 24 October, 2014
7:00pm
Speaker: Brooke Yancey of the University of Maryland.
Abstract: The generic transformation in the set of all invertible transformations that preserve a finite measure is both rigid and weakly mixing. There have been many recent developments toward characterizing the possible rigidity sequences for weakly mixing maps.
In joint work with Rachel Bayless, we are interested in what happens when you move to preserving an infinite measure. I will discuss some new results from our paper. In particular, I will give a construction to show compatibility of rigidity with rational ergodicity and also analyze rigidity sequences for rationally ergodic, rigid transformations.