A reverse entropy power inequality for log-concave random vectors

Tomasz Tkocz, Princeton University
Fine Hall 214

We make two conjectures concerning reverse entropy power inequalities in the log-concave setting, discuss some examples and sketch the proof that the exponent of the entropy of one dimensional projections of a log-concave random vector defines a 1/5-seminorm.Joint work with Keith Ball and Piotr Nayar.