On the mean width of log-concave functions
Functional Analysis
2012-10-17 v1 Metric Geometry
Abstract
In this work we present a new, natural, definition for the mean width of log-concave functions. We show that the new definition coincide with a previous one by B. Klartag and V. Milman, and deduce some properties of the mean width, including an Urysohn type inequality. Finally, we prove a functional version of the finite volume ratio estimate and the low-M* estimate.
Keywords
Cite
@article{arxiv.1210.4325,
title = {On the mean width of log-concave functions},
author = {Liran Rotem},
journal= {arXiv preprint arXiv:1210.4325},
year = {2012}
}
Comments
15 pages