Title: Central Limit Theorems via Analytic Combinatorics in Several Variables
| Speaker: | Tia Ruza |
| Affiliation: | University of Waterloo |
| Location: | MC 5479 |
There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1pm.
Abstract: Analytic combinatorics in several variables is a field of study focused on the derivation of limit behaviours of multivariate sequences. In this talk, I will describe a local central limit theorem and its applications to a variety of examples. Included in these examples will be a family of permutations with restricted cycles, integer compositions with tracked summands and n-colour compositions with tracked summands. The proof of this new, automated, local central limit theorem will also be briefly discussed, using techniques from the theory of analytic combinatorics in several variables. I will also provide background for proving central limit theorems probabilistically.