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High Dimensional Probability VIIIRemarks on Superconcentration and Gamma Calculus: Applications to Spin Glasses

High Dimensional Probability VIII: Remarks on Superconcentration and Gamma Calculus: Applications... [This note is concerned with the so-called superconcentration phenomenon. It shows that the Bakry-Émery’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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

High Dimensional Probability VIIIRemarks on Superconcentration and Gamma Calculus: Applications to Spin Glasses

Part of the Progress in Probability Book Series (volume 74)
Editors: Gozlan, Nathael; Latała, Rafał; Lounici, Karim; Madiman, Mokshay
Tanguy, Kevin
High Dimensional Probability VIII — Nov 27, 2019
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References (13)

Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-26390-4
Pages
151 –168
DOI
10.1007/978-3-030-26391-1_10
Publisher site
See Chapter on Publisher Site

Abstract

[This note is concerned with the so-called superconcentration phenomenon. It shows that the Bakry-Émery’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.]

Published: Nov 27, 2019

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