BIMSA > Probability and Dynamical Systems Seminar Arithmetic Randomness
Arithmetic Randomness
Organizers
Yuval Peres , Shuo Qin
Speaker
Max Wenqiang Xu
Time
Tuesday, March 17, 2026 3:15 PM - 4:15 PM
Venue
A3-3-301
Online
Zoom 482 240 1589 (BIMSA)
Abstract
In this survey talk, I will introduce some recent developments on multiplicative random walks. It is an object developed to model important arithmetic functions, and it has attracted attention from both the number theory and probability communities. I will focus more on its probabilistic aspects, e.g., moments, CLT, large fluctuation, and its connection to Gaussian multiplicative chaos.
No number theory background is assumed.
Speaker Intro
Max Wenqiang Xu is a Simons Junior Fellow at the Simons Foundation who has held positions at MSRI Berkeley and the Courant Institute. He received his Ph.D. from Stanford University in 2024 under the supervision of Jacob Fox and Kannan Soundararajan. His research lies at the interface of number theory, combinatorics, and probability.