Speaker: 

Joseph Rosenblatt

Institution: 

University of Illinois at Urbana-Champaign

Time: 

Tuesday, October 22, 2013 - 1:00pm to 2:00pm

Host: 

Location: 

RH 440R

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.