Deviation Inequalities for Convex Functions Motivated by the Talagrand Conjecture
- Авторлар: Gozlan N.1, Madiman M.2, Roberto C.3, Samson P.M.4
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Мекемелер:
- Université Paris Descartes
- University of Delaware
- Université Paris Ouest Nanterre La Défense
- Université Paris Est Marne la Vallée
- Шығарылым: Том 238, № 4 (2019)
- Беттер: 453-462
- Бөлім: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242542
- DOI: https://doi.org/10.1007/s10958-019-04249-2
- ID: 242542
Дәйексөз келтіру
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.
Авторлар туралы
N. Gozlan
Université Paris Descartes
Хат алмасуға жауапты Автор.
Email: natael.gozlan@parisdescartes.fr
Франция, Paris
M. Madiman
University of Delaware
Email: natael.gozlan@parisdescartes.fr
АҚШ, 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
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