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Convex Geometric Analysis Keith M. Ball (University College London)

Convex Geometric Analysis By Keith M. Ball (University College London)

Convex Geometric Analysis by Keith M. Ball (University College London)


Summary

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.

Convex Geometric Analysis Summary

Convex Geometric Analysis by Keith M. Ball (University College London)

Convex geometry is at once simple and amazingly rich. While the classical results go back many decades, during that previous to this book's publication in 1999, the integral geometry of convex bodies had 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 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 continues the Israel GAFA Seminar series, which is widely recognized as the most useful research source in the area. The collection reflects the work done at the program in Convex Geometry and Geometric Analysis that took place at MSRI in 1996.

Convex Geometric Analysis Reviews

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

Table of Contents

1. Integrals of smooth and analytic functions over Minkowski's 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 Krivine's theorem to quasi-normed spaces A. E. Litvak; 15. A note on Gowersi dichotomy theorem Bernard Maurey; 16. An isomorphic version of Dvoretzky's 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.

Additional information

NPB9780521642590
9780521642590
0521642590
Convex Geometric Analysis by Keith M. Ball (University College London)
New
Hardback
Cambridge University Press
1999-01-28
256
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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