Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2014–2016 / edited by Bo'az Klartag, Emanuel Milman.

Format:

Book

Contributor:

Klartag, Bo'az, Editor.

Milman, Emanuel., Editor.

Series:

Lecture Notes in Mathematics, 0075-8434 ; 2169

Language:

English

Subjects (All):

Functional analysis.

Convex geometry.

Discrete geometry.

Probabilities.

Functional Analysis.

Convex and Discrete Geometry.

Probability Theory and Stochastic Processes.

Local Subjects:

Functional Analysis.

Convex and Discrete Geometry.

Probability Theory and Stochastic Processes.

Physical Description:

1 online resource (XII, 366 p. 2 illus.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are manifested by contributions in Random Matrix Theory, Concentration of Measure and Empirical Processes. Naturally, the Gaussian measure plays a central role in many of these topics, and is also studied in this volume; in particular, the recent breakthrough proof of the Gaussian Correlation Conjecture is revisited. The interplay of the theory with Harmonic and Spectral Analysis is also well apparent in several contributions. The classical relation to both the primal and dual Brunn-Minkowski theories is also well represented, and related algebraic structures pertaining to valuations and valent functions are discussed. All contributions are original research papers and were subject to the usual refereeing standards.

Contents:

Alesker, S.: On repeated sequential closures of constructible functions in valuations

Ben-Efraim L., Milman, V., Segal, A.: Orbit point of view on some results of asymp-totic theory; Orbit type and cotype

Bobkov, S. G., Nayar, P., Tetali, P.: Concentration Properties of Restricted Measures with Applications to Non-Lipschitz Functions

Bourgain, J.:On random walks in large compact Lie groups

Bourgain, J.: On a problem of Farrell and Vershynin in random matrix theory.

Colesanti, A., Lombardi, N.: Valutations on the space of quasi-concave functions

Dafnis, N., Paouris, G.: An inequality for moments of log-concave functions on Gaus-sian random vectors

Friedland, O., Yomdin, Y.:(s; p)-valent functions

Gluskin, E. D., Ostrover, Y.: A remark on projections of the rotated cube to complex lines

Guedon, O., Hinrichs, A., Litvak, A. E., Prochno, J.: On the expectation of operatornorms of random matrices

Haviv, I., Regev, O.: The Restricted Isometry Property of Subsampled Fourier Ma-trices

Huang, H., Wei, F.: Upper bound for the Dvoretzky dimension in Milman-Schechtman theorem

Klartag, B.: Super-Gaussian directions of random vectors

Koldobsky, A., Pajor, A.: A remark on measures of sections of Lp-balls

Kolesnikov, A. V., Milman, E.: Sharp Poincare-type inequality for the Gaussian mea-sure on the boundary of convex sets

Konig, H., Milman, V.: Rigidity of the chain rule and nearly submultiplicative functions

Lata la, R., Matlak, D.: Royen's proof of the Gaussian correlation inequality

Liaw, C., Mehrabian, A., Plan, Y., Vershynin, R.: A simple tool for bounding the deviation of random matrices on geometric sets

Mendelson, S.: On multiplier processes under weak moment assumptions

Milman, V., Rotem, L.: Characterizing the radial sum for star bodies

Oleskiewicz, K.: On mimicking Rademacher sums in tail spaces

Rossi, A., Salani, P.: Stability for Borell-Brascamp-Lieb inequalities.pan>.

Notes:

Includes bibliographical references.

Description based on publisher supplied metadata and other sources.

ISBN:

3-319-45282-7

OCLC:

983830457