Convex Geometric Analysis by Keith M. Ball (English) Paperback Book

Description: Convex Geometric Analysis by Keith M. Ball, Vitali Milman This 1999 book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of Geometric Functional Analysis. It arises arises from an MSRI program held in the spring of 1996. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Table of Contents 1. Integrals of smooth and analytic functions over Minkowskis sums of convex sets S. Alesker; 2. On the Gromov-Milman theorem on concentration phenomenon on the uniformly convex sphere S. Alesker; 3. Geometric inequalities in option pricing Christer Borell; 4. Random points in isotropic convex sets Jean Bourgain; 5. Threshold intervals under group symmetries Jean Bourgain and G. Kalai; 6. On a generalization of the Busemann-Petty problem Jean Bourgain and Gaoyong Zhang; 7. Isotropic constants of Schatten class spaces Sean Dar; 8. On the stability of the volume radius E. D. Gluskin; 9. Polytope approximations of the unit ball of Lpn W. T. Gowers; 10. A remark about the scalar-plus-compact problem W. T. Gowers; 11. Another low-technology estimate in convex geometry Greg Kuperberg; 12. On the equivalence between geometric and arithmetic means for log-concave measures Rafal Latala; 13. On the constant in the Reverse Brunn-Minkowski inequality for p-convex balls A. E. Litvak; 14. An extension of Krivines theorem to quasi-normed spaces A. E. Litvak; 15. A note on Gowersi dichotomy theorem Bernard Maurey; 16. An isomorphic version of Dvoretzkys theorem II Vitali Milman and Gideon Schechtman; 17. Asymptotic versions of operators and operator ideals V. Milman and R. Wagner; 18. Metric entropy of the Grassman manifold Alain Pajor; 19. Curvature of nonlocal Markov generators Michael Schmuckenschlager; 20. An external property of the regular simplex Michael Schmuckenschlager; 21. Floating body, illumination body, and polytopal approximation Carsten Schutt; 22. A note on the M*-limiting convolution body Antonis Tsolomitis. Review Review of the hardback: ... a useful source of inspiration for mathematicians working in convex geometry and functional analysis. European Mathematical Society Review Quote Review of the hardback: … a useful source of inspiration for mathematicians working in convex geometry and functional analysis. European Mathematical Society Promotional "Headline" Articles on classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis, first published in 1999. Description for Bookstore This 1999 book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of Geometric Functional Analysis. It arises arises from an MSRI program held in the spring of 1996. Description for Library This 1999 book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of Geometric Functional Analysis. It arises arises from an MSRI program held in the spring of 1996. Details ISBN0521155649 Publisher Cambridge University Press Series Mathematical Sciences Research Institute Publications Language English ISBN-10 0521155649 ISBN-13 9780521155649 Media Book Format Paperback Series Number 34 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Edited by Vitali D. Milman DEWEY 516.08 Birth 1939 Short Title CONVEX GEOMETRIC ANALYSIS Pages 258 Year 2011 Publication Date 2011-07-21 Illustrations Worked examples or Exercises Audience Professional and Scholarly UK Release Date 2011-07-21 AU Release Date 2011-07-21 NZ Release Date 2011-07-21 Author Vitali Milman We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:91380729;

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