Invariances in variance estimates
Functional Analysis
2014-02-26 v1 Probability
Abstract
We provide variants and improvements of the Brascamp-Lieb variance inequality which take into account the invariance properties of the underlying measure. This is applied to spectral gap estimates for log-concave measures with many symmetries and to non-interacting conservative spin systems.
Keywords
Cite
@article{arxiv.1106.5985,
title = {Invariances in variance estimates},
author = {F. Barthe and D. Cordero-Erausquin},
journal= {arXiv preprint arXiv:1106.5985},
year = {2014}
}