Remarks on superconcentration and Gamma calculus. Application to Spin Glasses
Probability
2018-04-02 v1
Abstract
This note is concerned with the so-called superconcentration phenomenon. It shows that the Bakry-Emery's Gamma calculus can provide relevant bound on the variance of function satisfying a inverse, integrated, curvature criterion. As an illustration, we present some variance bounds for the Free Energy in different models from Spin Glasses Theory.
Cite
@article{arxiv.1803.11420,
title = {Remarks on superconcentration and Gamma calculus. Application to Spin Glasses},
author = {Tanguy Kevin},
journal= {arXiv preprint arXiv:1803.11420},
year = {2018}
}