DEVIATION INEQUALITIES FOR CONVEX FUNCTIONS MOTIVATED BY THE TALAGRAND CONJECTURE - Analyse en grande dimension, aspects géométriques et probabilistes
Chapitre D'ouvrage Année : 2017

DEVIATION INEQUALITIES FOR CONVEX FUNCTIONS MOTIVATED BY THE TALAGRAND CONJECTURE

Résumé

Motivated by Talagrand's conjecture on regularization properties of the natural semigroup on the Boolean hypercube, and in particular its continuous analogue involving regularization properties of the Ornstein-Uhlenbeck semigroup acting on in-tegrable functions, we explore deviation inequalities for log-semiconvex functions under Gaussian measure.
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Dates et versions

hal-01543705 , version 1 (21-06-2017)

Identifiants

Citer

Nathael Gozlan, Mokshay Madiman, Cyril Roberto, Paul-Marie Samson. DEVIATION INEQUALITIES FOR CONVEX FUNCTIONS MOTIVATED BY THE TALAGRAND CONJECTURE. Sudakov memorial volume, 457, pp.168-182, 2017, Zapiski Nauchnyh Seminarov POMI, ⟨10.1007/s10958-019-04249-2⟩. ⟨hal-01543705⟩
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