Access the full text.
Sign up today, get DeepDyve free for 14 days.
Radosław Adamczak, W. Bednorz, P. Wolff (2015)
Moment estimates implied by modified log-Sobolev inequalitiesarXiv: Probability
S. Bobkov, F. Götze (1999)
Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev InequalitiesJournal of Functional Analysis, 163
L. Gross (1975)
LOGARITHMIC SOBOLEV INEQUALITIES.American Journal of Mathematics, 97
S. Aida, D. Stroock (1994)
Moment estimates derived from Poincar'e and log-arithmic Sobolev inequalities
Germany E-mail address: goetze@math.uni-bielefeld
Radosław Adamczak, P. Wolff (2013)
Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher orderProbability Theory and Related Fields, 162
Radosław Adamczak (2005)
Moment inequalities for U-statisticsAnnals of Probability, 34
S. Bobkov, M. Ledoux
Institute for Mathematical Physics from Brunn{minkowski to Brascamp{lieb and to Logarithmic Sobolev Inequalities from Brunn-minkowski to Brascamp-lieb and to Logarithmic Sobolev Inequalities
S. Bobkov, F. Gotze, H. Sambale (2017)
Higher order concentration of measureCommunications in Contemporary Mathematics
A. Khorunzhy, B. Khoruzhenko, L. Pastur (1996)
Asymptotic properties of large random matrices with independent entriesJournal of Mathematical Physics, 37
S. Bobkov, M. Ledoux (2009)
Weighted poincaré-type inequalities for cauchy and other convex measuresAnnals of Probability, 37
D. Cordero-Erausquin, M. Fradelizi, B. Maurey (2004)
The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problemsJournal of Functional Analysis, 214
S. Boucheron, O. Bousquet, G. Lugosi, P. Massart (2005)
Moment inequalities for functions of independent random variablesAnnals of Probability, 33
M. Ledoux (1999)
Concentration of measure and logarithmic Sobolev inequalities, 33
M. Ledoux (2001)
The concentration of measure phenomenon
F. Gotze, H. Sambale (2016)
Second order concentration via logarithmic Sobolev inequalitiesBernoulli
Y. Sinai, A. Soshnikov (1998)
Central limit theorem for traces of large random symmetric matrices with independent matrix elementsBoletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society, 29
P. Wolff (2013)
On Some Gaussian Concentration Inequality for Non-Lipschitz Functions
S. Bobkov, F. Götze (2006)
Concentration inequalities and limit theorems for randomized sumsProbability Theory and Related Fields, 137
G. Lugosi (2008)
Concentration Inequalities
K. Johansson (1998)
On fluctuations of eigenvalues of random Hermitian matricesDuke Mathematical Journal, 91
A. Guionnet, O. Zeitouni (2000)
CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICESElectronic Communications in Probability, 5
S. Boucheron, G. Lugosi, P. Massart (2013)
Concentration Inequalities - A Nonasymptotic Theory of Independence
S. Bobkov, G. Chistyakov, F. Gotze (2015)
Second order concentration on the spherearXiv: Probability
S. Bobkov, F. Gotze (2010)
Concentration of empirical distribution functions with applications to non-i.i.d. modelsBernoulli, 16
M. Ledoux (1997)
On Talagrand's deviation inequalities for product measuresEsaim: Probability and Statistics, 1
(2000)
Between Sobolev and Poincaré. Geometric aspects of functional analysis
[We show sharpened forms of the concentration of measure phenomenon typically centered at stochastic expansions of order d − 1 for any d∈ℕ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$d \in \mathbb {N}$$ \end{document}. Here we focus on differentiable functions on the Euclidean space in presence of a Poincaré-type inequality. The bounds are based on d-th order derivatives.]
Published: Nov 27, 2019
Keywords: Concentration of measure phenomenon; Poincaré inequalities; Primary 60E15; 60F10; Secondary 60B20
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.