Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624712 | Advances in Applied Mathematics | 2014 | 20 Pages |
Abstract
Elaborating on the similarity between the entropy power inequality and the Brunn–Minkowski inequality, Costa and Cover conjectured the 1n-concavity of the outer parallel volume of measurable sets as an analogue of the concavity of entropy power. We investigate this conjecture and study its relationship with geometric inequalities.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Matthieu Fradelizi, Arnaud Marsiglietti,