Gaussian limit laws and generating series

Speaker : Elie De Panafieu
Nokia Bell Labs France
Date: 05/04/2023
Time: 10:30 am - 11:30 am
Location: Room 4B01


The Central Limit Theorem states that some sums of random variables, once renormalized, converge to the Gaussian distribution. Some parameters of large combinatorial objects have a similar flavor but do not satisfy the independence assumption. I will present tools from analytic combinatorics to handle those parameters and prove Gaussian limit laws (and many others!).