Dimensional behaviour of entropy and information
Functional Analysis
2011-03-31 v1 Information Theory
math.IT
Probability
Abstract
We develop an information-theoretic perspective on some questions in convex geometry, providing for instance a new equipartition property for log-concave probability measures, some Gaussian comparison results for log-concave measures, an entropic formulation of the hyperplane conjecture, and a new reverse entropy power inequality for log-concave measures analogous to V. Milman's reverse Brunn-Minkowski inequality.
Cite
@article{arxiv.1101.3352,
title = {Dimensional behaviour of entropy and information},
author = {Sergey Bobkov and Mokshay Madiman},
journal= {arXiv preprint arXiv:1101.3352},
year = {2011}
}
Comments
6 pages