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arXiv · 1803.11420

Remarks on superconcentration and Gamma calculus. Application to Spin Glasses

Tanguy Kevin
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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.

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Tanguy Kevin. 2018-03-30. Remarks on superconcentration and Gamma calculus. Application to Spin Glasses. https://arxiv.org/abs/1803.11420

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