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A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure
Max Fathi · 2018-06-17 · via math.PR updates on arXiv.org

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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