Deviation Inequalities for Convex Functions Motivated by the Talagrand Conjecture
- 作者: Gozlan N.1, Madiman M.2, Roberto C.3, Samson P.4
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隶属关系:
- Université Paris Descartes
- University of Delaware
- Université Paris Ouest Nanterre La Défense
- Université Paris Est Marne la Vallée
- 期: 卷 238, 编号 4 (2019)
- 页面: 453-462
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242542
- DOI: https://doi.org/10.1007/s10958-019-04249-2
- ID: 242542
如何引用文章
详细
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.
作者简介
N. Gozlan
Université Paris Descartes
编辑信件的主要联系方式.
Email: natael.gozlan@parisdescartes.fr
法国, Paris
M. Madiman
University of Delaware
Email: natael.gozlan@parisdescartes.fr
美国, Newark
C. Roberto
Université Paris Ouest Nanterre La Défense
Email: natael.gozlan@parisdescartes.fr
法国, Nanterre
P. Samson
Université Paris Est Marne la Vallée
Email: natael.gozlan@parisdescartes.fr
法国, Marne la Vallée