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Probability and Combinatorics

Tuesday, February 28, 2017 - 3:00pm

James Melbourne



Temple University

Wachman Hall 617

We will present a generalization of a theorem of Rogozin that identifies uniform distributions as extremizers of a class of inequalities, and show how the result can reduce specific random variables questions to geometric ones. In particular, by extending "cube slicing" results of K. Ball, we achieve a unification and sharpening of recent bounds on densities achieved as projections of product measures due to Rudelson and Vershynin, and the bounds on sums of independent random variable due to Bobkov and Chistyakov.  Time permitting we will also discuss connections with generalizations of the entropy power inequality.