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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 457, Pages 168–182 (Mi znsl6441)  
This article is cited in 2 scientific papers (total in 2 papers)

Deviation inequalities for convex functions motivated by the Talagrand conjecture

N. Gozlana, M. Madimanb, C. Robertoc, P. M. Samsond

a Université Paris Descartes – MAP 5 (UMR CNRS 8145), 45 rue des Saints-Pères 75270 Paris cedex 6, France
b University of Delaware, Department of Mathematical Sciences, 501 Ewing Hall, Newark DE 19716, USA
c Université Paris Ouest Nanterre La Défense – Modal'X, 200 avenue de la République 92000 Nanterre, France
d Université Paris Est Marne la Vallée – Laboratoire d'Analyse et de Mathématiques Appliquées (UMR CNRS 8050), 5 bd Descartes, 77454 Marne la Vallée Cedex 2, France
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Abstract: 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 integrable functions, we explore deviation inequalities for log-semiconvex functions under Gaussian measure.
Key words and phrases: Ehrhard inequality, Talagrand conjecture, Hypercontractivity, Ornstein-Uhlenbeck semi-group.
Funding agency Grant number
Agence Nationale de la Recherche 2011 BS01 007 01
10 LABX-58
ANR11-LBX-0023-01
National Science Foundation 1409504
Supported by the grants ANR 2011 BS01 007 01, ANR 10 LABX-58, ANR11-LBX-0023-01 and by the U.S. National Science Foundation through grant 1409504.
Received: 01.06.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 4, Pages 453–462
DOI: https://doi.org/10.1007/s10958-019-04249-2
Document Type: Article
UDC: 519.2
Language: English
Citation: N. Gozlan, M. Madiman, C. Roberto, P. M. Samson, “Deviation inequalities for convex functions motivated by the Talagrand conjecture”, Probability and statistics. Part 25, Zap. Nauchn. Sem. POMI, 457, POMI, St. Petersburg, 2017, 168–182; J. Math. Sci. (N. Y.), 238:4 (2019), 453–462
Citation in format AMSBIB
\Bibitem{GozMadRob17}
\by N.~Gozlan, M.~Madiman, C.~Roberto, P.~M.~Samson
\paper Deviation inequalities for convex functions motivated by the Talagrand conjecture
\inbook Probability and statistics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 457
\pages 168--182
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6441}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 4
\pages 453--462
\crossref{https://doi.org/10.1007/s10958-019-04249-2}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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