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Convexity and Concentration

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Cover of 'Convexity and Concentration'

Table of Contents

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    Book Overview
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    Chapter 1 Interpolation of Probability Measures on Graphs
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    Chapter 2 Entropy and Thinning of Discrete Random Variables
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    Chapter 3 Concentration of Measure Principle and Entropy-Inequalities
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    Chapter 4 Structured Random Matrices
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    Chapter 5 Rates of Convergence for Empirical Spectral Measures: A Soft Approach
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    Chapter 6 Concentration of Measure Without Independence: A Unified Approach Via the Martingale Method
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    Chapter 7 Strong Data-Processing Inequalities for Channels and Bayesian Networks
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    Chapter 8 An Application of a Functional Inequality to Quasi-Invariance in Infinite Dimensions
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    Chapter 9 Borell’s Formula on a Riemannian Manifold and Applications
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    Chapter 10 Fourth Moments and Products: Unified Estimates
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    Chapter 11 Asymptotic Expansions for Products of Characteristic Functions Under Moment Assumptions of Non-integer Orders
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    Chapter 12 Non-standard Constructions in Convex Geometry: Geometric Means of Convex Bodies
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    Chapter 13 Randomized Isoperimetric Inequalities
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    Chapter 14 Forward and Reverse Entropy Power Inequalities in Convex Geometry
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    Chapter 15 Log-Concave Functions
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    Chapter 16 On Some Problems Concerning Log-Concave Random Vectors
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    Chapter 17 Stability Results for Some Geometric Inequalities and Their Functional Versions
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    Chapter 18 Measures of Sections of Convex Bodies
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    Chapter 19 On Isoperimetric Functions of Probability Measures Having Log-Concave Densities with Respect to the Standard Normal Law
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    Chapter 20 Counting Integer Points in Higher-Dimensional Polytopes
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    Chapter 21 The Chain Rule Operator Equation for Polynomials and Entire Functions
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Title
Convexity and Concentration
Published by
Springer-Verlag New York, January 2017
DOI 10.1007/978-1-4939-7005-6
ISBNs
978-1-4939-7005-6, 978-1-4939-7004-9
Editors

Eric Carlen, Mokshay Madiman, Elisabeth Werner

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Mendeley readers

The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 6 100%

Demographic breakdown

Readers by professional status Count As %
Unspecified 5 83%
Researcher 1 17%
Readers by discipline Count As %
Unspecified 5 83%
Engineering 1 17%