Title: Exponential Sums and Pointwise Convergence of Averages
Speaker: Patrick LaVictoire
Speaker Info: University of Wisconsin
Brief Description:
Special Note:
Abstract:
The convergence, in several senses, of a sequence of weighted ergodic averages depends greatly on the behavior of an associated sequence of exponential sums. In the past few years, new results on the pointwise convergence of weighted averages for L^1 functions have highlighted this principle, especially when passage to a subsequence is permitted. I will illustrate two of these results, one positive and one negative, and a sharp threshold between them in the averages along a perturbation of the square numbers.Date: Saturday, October 30, 2010