A reverse entropy power inequality for log-concave random vectors
Volume 235 / 2016
Studia Mathematica 235 (2016), 17-30
MSC: Primary 94A17; Secondary 52A40, 60E15.
DOI: 10.4064/sm8418-6-2016
Published online: 23 September 2016
Abstract
We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vector defines a $1/5$-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some examples.
