Deviation Inequalities for Convex Functions Motivated by the Talagrand Conjecture
- Авторы: Gozlan N.1, Madiman M.2, Roberto C.3, Samson P.4
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Учреждения:
- Université Paris Descartes
- University of Delaware
- Université Paris Ouest Nanterre La Défense
- Université Paris Est Marne la Vallée
- Выпуск: Том 238, № 4 (2019)
- Страницы: 453-462
- Раздел: 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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Аннотация
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.
Об авторах
N. Gozlan
Université Paris Descartes
Автор, ответственный за переписку.
Email: natael.gozlan@parisdescartes.fr
Франция, Paris
M. Madiman
University of Delaware
Email: natael.gozlan@parisdescartes.fr
США, Newark
C. Roberto
Université Paris Ouest Nanterre La Défense
Email: natael.gozlan@parisdescartes.fr
Франция, Nanterre
P. Samson
Université Paris Est Marne la Vallée
Email: natael.gozlan@parisdescartes.fr
Франция, Marne la Vallée