Convex Geometric Analysis

• 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 Gowersí 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.

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