Logarithmic Sobolev Inequalities
logarithmic Sobolev inequalities what they are some history analytic
Logsobwpause
Logarithmic Sobolev Inequalities
LOGARITHMIC SOBOLEV INEQUALITIES. By LEONARD GRoss.*. 1. Introduction. Classical Sobolev inequalities state typically
Lectures on Logarithmic Sobolev Inequalities
Jan 1 2012 Section 4.1 Properties of logarithmic Sobolev inequality ... ing to learn how to prove log-Sobolev inequality in infinite-dimensional ...
SPS
1 CONCENTRATION OF MEASURE AND LOGARITHMIC
2.2 Examples of logarithmic Sobolev inequalities p. 26. 2.3 The Herbst argument p. 29. 2.4 Entropy-energy inequalities and non-Gaussian tails.
Berlin
Mass transport and variants of the logarithmic Sobolev inequality
Sep 25 2007 Abstract. We develop the optimal transportation approach to modified log-Sobolev inequalities and to isoperimetric inequalities.
Modified Log-Sobolev Inequalities Mixing and Hypercontractivity
These inequalities turn out to be weaker than the stan- dard log-Sobolev inequality but stronger than the Poincare'. (spectral gap) inequality.
STOC BT
Concentration of measure and logarithmic Sobolev inequalities
4.3 Poincare inequalities and modified logarithmic Sobolev inequalities 5.1 Logarithmic Sobolev inequality for Bernoulli and Poisson measures.
SPS
Logarithmic Sobolev inequalities for unbounded spin systems revisited
or logarithmic Sobolev inequality and to control the dependence of the Logarithmic Sobolev inequalities for compact spin systems have been studied.
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Logarithmic Sobolev Inequalities Essentials: Probabilistic Side
Logarithmic Sobolev Inequalities Essentials: Probabilistic Side. High dimensional probability. Rough lecture notes. Djalil Chafaï & Joseph Lehec.
chafai lehec m lsie lecture notes
Analytic and Geometric Logarithmic Sobolev Inequalities
One basic form of the logarithmic Sobolev inequality is the one for the standard. Gaussian probability measure dµ(x) = (2π)−n/2 e−
jedp.
Concentrationofmeasureandlogarithmic
Sobolevinequalities
Séminaire de probabilités (Strasbourg), tome 33 (1999), p. 120-216pression de ce fichier doit contenir la présente mention de copyright.Article numérisé dans le cadre du programme
Numérisation de documents anciens mathématiques http://www.numdam.org/CONCENTRATION OF MEASURE
AND LOGARITHMIC SOBOLEV
INEQUALITIES
MICHEL LEDOUX
TABLE OF CONTENTS
INTRODUCTION 123
1. ISOPERIMETRIC AND CONCENTRATION
INEQUALITIES 126
1.1 Introduction
1261.2
Isoperimetric inequalities
for Gaussian and Boltzmann measures 1271.3 Some
general facts about concentration 1342. SPECTRAL GAP AND LOGARITHMIC SOBOLEV
INEQUALITIES
1392.1 Abstract functional
inequalities 1392.2
Examples
of logarithmicSobolev
inequalities 1452.3 Herbst's
argument 1482.4
Entropy-energy inequalities
and non-Gaussian tails 1542.5 Poincare
inequalities and concentration 1593. DEVIATION
INEQUALITIES
FOR PRODUCT MEASURES 161
3.1 Concentration with
respect to theHamming
metric 1613.2 Deviation
inequalities for convex functions 1633.3 Information
inequalities and concentration 1663.4
Applications
to bounds on empirical processes 1714. MODIFIED LOGARITHMIC SOBOLEV
INEQUALITIES
FORLOCAL GRADIENTS 173
4.1 The
exponential measure 1734.2 Modified
logarithmicSobolev
inequalities 1784.3 Poincare
inequalities and modified logarithmicSobolev
SÉMINAIRE DE PROBABILITÉS(STRASBOURG)MICHELLEDOUXConcentrationofmeasureandlogarithmic
Sobolevinequalities
Séminaire de probabilités (Strasbourg), tome 33 (1999), p. 120-216pression de ce fichier doit contenir la présente mention de copyright.Article numérisé dans le cadre du programme
Numérisation de documents anciens mathématiques http://www.numdam.org/CONCENTRATION OF MEASURE
AND LOGARITHMIC SOBOLEV
INEQUALITIES
MICHEL LEDOUX
TABLE OF CONTENTS
INTRODUCTION 123
1. ISOPERIMETRIC AND CONCENTRATION
INEQUALITIES 126
1.1 Introduction
1261.2
Isoperimetric inequalities
for Gaussian and Boltzmann measures 1271.3 Some
general facts about concentration 1342. SPECTRAL GAP AND LOGARITHMIC SOBOLEV
INEQUALITIES
1392.1 Abstract functional
inequalities 1392.2
Examples
of logarithmicSobolev
inequalities 1452.3 Herbst's
argument 1482.4
Entropy-energy inequalities
and non-Gaussian tails 1542.5 Poincare
inequalities and concentration 1593. DEVIATION
INEQUALITIES
FOR PRODUCT MEASURES 161
3.1 Concentration with
respect to theHamming
metric 1613.2 Deviation
inequalities for convex functions 1633.3 Information
inequalities and concentration 1663.4
Applications
to bounds on empirical processes 1714. MODIFIED LOGARITHMIC SOBOLEV
INEQUALITIES
FORLOCAL GRADIENTS 173
4.1 The
exponential measure 1734.2 Modified
logarithmicSobolev
inequalities 1784.3 Poincare
inequalities and modified logarithmicSobolev
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