## EVENT DETAILS AND ABSTRACT

**Probability Seminar**
**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".

**Date:** Wednesday, May 06, 2020

**Time:** 3:00PM

**Where:** https://northwestern.zoom.us/j/907400031

**Contact Person:** Julian Gold

**Contact email:** gold@math.northwestern.edu

**Contact Phone:**

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