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Mathematical Sciences Research Institute Publications : Convex Geometric Analysis Series Number 34 - Keith M. Ball

Mathematical Sciences Research Institute Publications

Convex Geometric Analysis Series Number 34

By: Keith M. Ball (Editor), Vitali D. Milman (Editor)

Paperback Published: 21st July 2011
ISBN: 9780521155649
Number Of Pages: 258

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Convex bodies are at once simple and amazingly rich in structure. While the classical results go back many decades, during the past ten years the integral geometry of convex bodies has undergone a dramatic revitalization, brought about by the introduction of methods, results and, most importantly, new viewpoints, from probability theory, harmonic analysis and the geometry of finite-dimensional normed spaces. This collection arises from an MSRI program held in the Spring of 1996, involving researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis. It is representative of the best research in a very active field that brings together ideas from several major strands in mathematics.

Review of the hardback: '... a useful source of inspiration for mathematicians working in convex geometry and functional analysis.' European Mathematical Society

Integrals of smooth and analytic functions over Minkowski's sums of convex sets
On the Gromov-Milman theorem on concentration phenomenon on the uniformly convex sphere
Geometric inequalities in option pricing
Random points in isotropic convex sets
Threshold intervals under group symmetries
On a generalization of the Busemann-Petty problem
Isotropic constants of Schatten class spaces
On the stability of the volume radius
Polytope approximations of the unit ball of Lpn
A remark about the scalar-plus-compact problem
Another low-technology estimate in convex geometry
On the equivalence between geometric and arithmetic means for log-concave measures
On the constant in the Reverse Brunn-Minkowski inequality for p-convex balls
An extension of Krivine's theorem to quasi-normed spaces
A note on Gowersí dichotomy theorem
An isomorphic version of Dvoretzky's theorem II
Asymptotic versions of operators and operator ideals
Metric entropy of the Grassman manifold
Curvature of nonlocal Markov generators
An external property of the regular simplex
Floating body, illumination body, and polytopal approximation
A note on the M*-limiting convolution body
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521155649
ISBN-10: 0521155649
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 258
Published: 21st July 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 1.4
Weight (kg): 0.37

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