Email this article Deviation Inequalities for Convex Functions Motivated by the Talagrand Conjecture
- Authors: Gozlan N.1, Madiman M.2, Roberto C.3, Samson P.M.4
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Affiliations:
- Université Paris Descartes
- University of Delaware
- Université Paris Ouest Nanterre La Défense
- Université Paris Est Marne la Vallée
- Issue: Vol 238, No 4 (2019)
- Pages: 453-462
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242542
- DOI: https://doi.org/10.1007/s10958-019-04249-2
- ID: 242542
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Abstract
Motivated by Talagrand’s conjecture on regularization properties of the natural semigroup on the Boolean hypercube, and, in particular, by its continuous analogue involving regularization properties of the Ornstein–Uhlenbeck semigroup acting on integrable functions, we explore deviation inequalities for log-semiconvex functions under Gaussian measure.
About the authors
N. Gozlan
Université Paris Descartes
Author for correspondence.
Email: natael.gozlan@parisdescartes.fr
France, Paris
M. Madiman
University of Delaware
Email: natael.gozlan@parisdescartes.fr
United States, Newark
C. Roberto
Université Paris Ouest Nanterre La Défense
Email: natael.gozlan@parisdescartes.fr
France, Nanterre
P. M. Samson
Université Paris Est Marne la Vallée
Email: natael.gozlan@parisdescartes.fr
France, Marne la Vallée
