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" The concentration of measure phenomenon / "
Michel Ledoux.
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BL
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| Record Number
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700466
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| Doc. No
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b522655
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| Main Entry
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Ledoux, Michel,1958-
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| Title & Author
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The concentration of measure phenomenon /\ Michel Ledoux.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2001.
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| Series Statement
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Mathematical surveys and monographs,; v. 89
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| Page. NO
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x, 181 p. ;; 27 cm.
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| ISBN
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0821828649 (acid-free paper)
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: 9780821828649 (acid-free paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 171-179) and index.
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| Contents
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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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| Subject
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Concentration functions.
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| Subject
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Measure theory.
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Probabilities.
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| LC Classification
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QA273.43.L43 2001
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