EVENT DETAILS AND ABSTRACT

Title: Diophantine measures and the local limit theorem
Speaker: Christian Gorski
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

Classical theorems like the central limit theorem and the local limit theorem tell us that large sums of i.i.d. random variables look Gaussian, but what controls the rate of convergence? I'll present a small part of a paper by Breuillard where he shows that, in some sense, X_1 + ... + X_n converges quickly to a Gaussian if and only if the distribution of the X_i is "not well approximated by arithmetic sequences".