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2018 A sharp symmetrized form of Talagrand’s transport-entropy inequality for the Gaussian measure
Max Fathi
Electron. Commun. Probab. 23(none): 1-9 (2018). DOI: 10.1214/18-ECP179

Abstract

This note presents a sharp transport-entropy inequality that improves on Talagrand’s inequality for the Gaussian measure, arising as a dual formulation of the functional Santaló inequality. We also discuss some extensions and connections with concentration of measure.

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Max Fathi. "A sharp symmetrized form of Talagrand’s transport-entropy inequality for the Gaussian measure." Electron. Commun. Probab. 23 1 - 9, 2018. https://doi.org/10.1214/18-ECP179

Information

Received: 26 June 2018; Accepted: 8 October 2018; Published: 2018
First available in Project Euclid: 24 October 2018

zbMATH: 1400.35008
MathSciNet: MR3873788
Digital Object Identifier: 10.1214/18-ECP179

Subjects:
Primary: 35A23, 52A40, 60B11

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