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Geometric Aspects of Functional Analysis: Israel Seminar 2004-2005: Lecture Notes in Mathematics, cartea 1910

Editat de Vitali D. Milman, Gideon Schechtman
en Limba Engleză Paperback – 16 mai 2007
The Israeli GAFA seminar (on Geometric Aspect of Functional Analysis) during the years 2002-2003 follows the long tradition of the previous volumes. It reflects the general trends of the theory. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis. In addition the volume contains papers on related aspects of Probability, classical Convexity and also Partial Differential Equations and Banach Algebras. There are also two expository papers on topics which proved to be very much related to the main topic of the seminar. One is Statistical Learning Theory and the other is Models of Statistical Physics. All the papers of this collection are original research papers.
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Specificații

ISBN-13: 9783540720522
ISBN-10: 3540720529
Pagini: 344
Ilustrații: VIII, 332 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.52 kg
Ediția:2007
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure.- Geometric Applications of Chernoff-Type Estimates.- A Remark on the Surface Brunn–Minkowski-Type Inequality.- On Isoperimetric Constants for Log-Concave Probability Distributions.- A Remark on Quantum Ergodicity for CAT Maps.- Some Arithmetical Applications of the Sum-Product Theorems in Finite Fields.- On the Maximal Number of Facets of 0/1 Polytopes.- A Note on an Observation of G. Schechtman.- Marginals of Geometric Inequalities.- Deviation Inequalities on Largest Eigenvalues.- On the Euclidean Metric Entropy of Convex Bodies.- Some Remarks on Transportation Cost and Related Inequalities.- A Comment on the Low-Dimensional Busemann–Petty Problem.- Random Convex Bodies Lacking Symmetric Projections, Revisited Through Decoupling.- The Random Version of Dvoretzky's Theorem in .- Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension.- Decoupling Weakly Dependent Events.- The Square Negative Correlation Property for Generalized Orlicz Balls.

Textul de pe ultima copertă

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 follows the long tradition of the previous volumes that reflect the general trends of the Theory and are a source of inspiration for research.
Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involving volumes of such bodies or, more generally, log-concave measures, to the study of sections or projections of convex bodies. In many of the papers Probability Theory plays an important role; in some limit laws for measures associated with convex bodies, resembling Central Limit Theorems, are derive and in others probabilistic tools are used extensively. There are also papers on related subjects, including a survey on the behavior of the largest eigenvalue of random matrices and some topics in Number Theory.

Caracteristici

Includes supplementary material: sn.pub/extras