عنوان

The concentration of measure phenomenon /

(Number (ISBN

0821828649 (acid-free paper)

(Number (ISBN

9780821828649 (acid-free paper)

Number

b522655

Title Proper

The concentration of measure phenomenon /

General Material Designation

[Book]

First Statement of Responsibility

Michel Ledoux.

Place of Publication, Distribution, etc.

Providence, R.I. :

Name of Publisher, Distributor, etc.

American Mathematical Society,

Date of Publication, Distribution, etc.

c2001.

Specific Material Designation and Extent of Item

x, 181 p. ;

Dimensions

27 cm.

Series Title

Mathematical surveys and monographs,

Volume Designation

v. 89

ISSN of Series

0076-5376 ;

Text of Note

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

Text of Note

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.

0

Concentration functions.

Measure theory.

Probabilities.

Class number

Book number

Ledoux, Michel,1958-

Date of Transaction

20140220092632.0

Electronic name

[Book]

Y