عنوان

The concentration of measure phenomenon /

0821828649 (acid-free paper)

9780821828649 (acid-free paper)

b522655

The concentration of measure phenomenon /

[Book]

Michel Ledoux.

Providence, R.I. :

American Mathematical Society,

c2001.

x, 181 p. ;

27 cm.

Mathematical surveys and monographs,

v. 89

0076-5376 ;

Includes bibliographical references (p. 171-179) and index.

Concentration Functions and Inequalities -- Concentration functions -- Deviation inequalities -- Observable diameter -- Expansion coefficient -- Laplace bounds and infimum-convolutions -- Isoperimetric and Functional Examples -- Isoperimetric examples -- Brunn-Minkowski inequalities -- Semigroup tools -- Concentration and Geometry -- Spectrum and concentration -- Spectral and diameter bounds -- Levy families -- Topological applications -- Euclidean sections of convex bodies -- Concentration in Product Spaces -- Martingale methods -- Convex hull approximation -- Control by several points -- Convex infimum-convolution -- The exponential distribution -- Entropy and Concentration -- Logarithmic Sobolev inequalities and concentration -- Product measures -- Modified logarithmic Sobolev inequalities -- Discrete settings -- Covariance identities -- Transportation Cost Inequalities -- Information inequalities and concentration -- Quadratic transportation cost inequalities -- Transportation for product and non-product measures -- Sharp Bounds on Gaussian and Empirical Processes -- Gaussian processes -- Bounds on empirical processes -- Sharper bounds via the entropic method -- Selected Applications -- Concentration of harmonic measures -- Concentration for independent permutations -- Subsequences, percolation, assignment -- The spin glass free energy -- Concentration of random matrices.

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Concentration functions.

Measure theory.

Probabilities.

Ledoux, Michel,1958-

20140220092632.0

[Book]

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