Stochastic proof of the sharp symmetrized Talagrand inequality

A new proof of the sharp symmetrized form of Talagrand’s transport-entropy inequality is given. Compared to stochastic proofs of other Gaussian functional inequalities, the new idea here is a certain coupling induced by time-reversed martingale representations.

Authors

Max Fathi
Thomas A. Courtade (ORCID: https://orcid.org/0000-0001-7106-7358)
Dan Mikulincer (ORCID: https://orcid.org/0000-0003-3597-3550)

Publication Details

Journal: Comptes Rendus Mathématique
Published: 2024-11-25
DOI: https://doi.org/10.5802/crmath.681
Citations: 2
Primary Topic: Point processes and geometric inequalities
Type: article
Field-Weighted Citation Impact: 1.95

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article

Stochastic proof of the sharp symmetrized Talagrand inequality

Max Fathi, Thomas A. Courtade, Dan Mikulincer

Nov 25, 2024

2 citations

Comptes Rendus Mathématique

Point processes and geometric inequalities

1.95

article

Stochastic proof of the sharp symmetrized Talagrand inequality

Max Fathi, Thomas A. Courtade, Dan Mikulincer

November 25, 2024article en

2 citations

Abstract

Comptes Rendus MathématiqueVol. 362(G12)

Reduced inequalities

Openalex Percentile: Top 13%

Point processes and geometric inequalities

1.95

DOI Open Access PDF OpenAlex

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Stochastic proof of the sharp symmetrized Talagrand inequality — Max Fathi, Thomas A. Courtade, et al. · Comptes Rendus Mathématique (2024) | TGRS Research Map | TGRS