The variance conjecture on some polytopes
Functional Analysis
2012-09-20 v1
Abstract
We show that any random vector uniformly distributed on any hyperplane projection of or verifies the variance conjecture Furthermore, a random vector uniformly distributed on a hyperplane projection of verifies a negative square correlation property and consequently any of its linear images verifies the variance conjecture.
Cite
@article{arxiv.1209.4270,
title = {The variance conjecture on some polytopes},
author = {David Alonso-Gutiérrez and Jesús Bastero},
journal= {arXiv preprint arXiv:1209.4270},
year = {2012}
}