Seminar Details
Using Central Limit Theorems: Balls in Bins and More
- Start Date: February 13, 2020
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Marcus Michelen - University of Illinois, Chicago
- Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
- Presentation Type: Stand Alone Presentation
- Abstract:
The multivariate central limit theorem yields a solution to a question of Behrouzi-Far and Zeilberger concerning the average maximal number of balls in a bin. An overview of the classical central limit theorem---both the univariate and multivariate version---will be presented along with the solution to the balls and bin problem as a worked example. Time permitting, recent work joint with Julian Sahasrabudhe will be discussed, in which we show that central limit theorems follow from zero-free regions of generating functions. No knowledge of probability theory will be assumed.