UVictoria Probability and Dynamics Seminar: William Verreault

Recent interactions between probability and number theory proved fruitful. In particular, random multiplicative functions (RMFs) are random models for partial sums of the Möbius function and Dirichlet characters, which are related to L-functions like the Riemann zeta function. In this talk, I will present the past, present, and future of RMFs: their history, known results, and current work on the moments and distribution of these partial sums of RMFs, as well as a look at the connections with random matrices that are likely to lead to major breakthroughs in the upcoming years.