Norm Approximation in Ergodic Theory
Mar 21 2013 – 3:00pm – 4:00 pm
Joseph Rosenblatt (University of Illinois at Urbana-Champaign)
Classical ergodic averages give good norm approximations, but these averages are not necessarily giving the best norm approximation
among all possible averages. We consider 1) what the optimal Cesaro norm approximation can be in terms of the transformation and the function, 2) when these optimal Cesaro norm approximations are comparable to the norm of the usual ergodic average, and 3) oscillatory behavior of these norm approximations.