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E-raamat: Geometric Aspects of Functional Analysis: Israel Seminar 2004-2005

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  • Sari: Lecture Notes in Mathematics 1910
  • Ilmumisaeg: 27-Apr-2007
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783540720539
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  • Formaat: PDF+DRM
  • Sari: Lecture Notes in Mathematics 1910
  • Ilmumisaeg: 27-Apr-2007
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783540720539
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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.

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 reflects 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 the study of sections or projections of convex bodies.
Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure
1(44)
S. Alesker
Geometric Applications of Chernoff-Type Estimates
45(32)
S. Artstein-Avidan
O. Friedland
V. Milman
A Remark on the Surface Brunn---Minkowski-Type Inequality
77(4)
S.G. Bobkov
On Isoperimetric Constants for Log-Concave Probability Distributions
81(8)
S. G. Bobkov
A Remark on Quantum Ergodicity for CAT Maps
89(10)
J. Bourgain
Some Arithmetical Applications of the Sum-Product Theorems in Finite Fields
99(18)
J. Bourgain
On the Maximal Number of Facets of 0/1 Polytopes
117(10)
D. Gatzouras
A. Giannopoulos
N. Markoulakis
A Note on an Observation of G. Schechtman
127(6)
Y. Gordon
Marginals of Geometric Inequalities
133(34)
B. Klartag
Deviation Inequalities on Largest Eigenvalues
167(54)
M. Ledoux
On the Euclidean Metric Entropy of Convex Bodies
221(16)
A.E. Litvak
V.D. Milman
A. Pajor
N. Tomczak-Jaegermann
Some Remarks on Transportation Cost and Related Inequalities
237(8)
M. Meckes
A Comment on the Low-Dimensional Busemann---Petty Problem
245(10)
E. Milman
Random Convex Bodies Lacking Symmetric Projections, Revisited Through Decoupling
255(10)
P. Pivovarov
The Random Version of Dvoretzky's Theorem in ln∞
265(6)
G. Schechtman
Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension
271(26)
S. Sodin
Decoupling Weakly Dependent Events
297(8)
S.J. Szarek
N. Tomczak-Jaegermann
The Square Negative Correlation Property for Generalized Orlicz Balls
305(10)
J.O. Wojtaszczyk
Seminar Talks (with Related Workshop and Conference Talks) 315