43rd Midwest Probability Colloquium

Title: A Review of Negative Dependence
Speaker: Robin Pemantle
Speaker Info: University of Pennsylvania
Brief Description:
Special Note:

This talk reviews 50-60 years of the theory of negative dependence of binary random variables, beginning with origins in mathematical statistics and statistical mechanics. The high point is the Borcea-Branden-Liggett theory,connecting negative dependence to the geometry of zero sets of polynomials, and providing a long sought after checkable condition with strong consequences such as negative association. I will end with some more recent (last ten years) work of various people, including concentration inequalities, Lorentzian measures, and a CLT based on the geometry of zeros. The talk will end with some open problems.
Date: Friday, October 21, 2022
Time: 4:00pm
Where: 107 Swift Hall
Contact Person: Elton P. Hsu
Contact email: ehsu@math.northwestern.edu
Contact Phone: 1-8541
Copyright © 1997-2024 Department of Mathematics, Northwestern University.