English

A reverse entropy power inequality for log-concave random vectors

Probability 2018-01-25 v2

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.

Cite

@article{arxiv.1509.05926,
  title  = {A reverse entropy power inequality for log-concave random vectors},
  author = {Keith Ball and Piotr Nayar and Tomasz Tkocz},
  journal= {arXiv preprint arXiv:1509.05926},
  year   = {2018}
}

Comments

14 pages

R2 v1 2026-06-22T11:00:40.722Z