Geometry of isotropic convex bodies /
xx, 594 p. ; 27 cm. - (Mathematical surveys and monographs ; v 196.) Content notes : 1. Background from asymptotic convex geometry--
2. Isotropic log-concave measures--
3. Hyperplane conjecture and Bourgain's upper bound--
4. Partial answers--
5. Lq-centroid bodies and concentration of mass--
6. Bodies with maximal isotropic constant--
7. Logarithmic laplace transform and the isomorphic--
8. Tail estimates for linear functionals--
9. M and M*-estimates--
10. Approximating the covariance matrix--
11. Random polytopes in isotropic convex bodies--
12. Central limit problem and the thin shell conjecture--
13. The thin shell estimate--
14. Kannan-Lovasz-Simonovits conjecture--
15. Infimum convolution inequalities and concentration--
16. Information theory and the hyperplane conjecture--
Bibliography--
Subject index--
Author index.
Banach lattices. Valettas, Petros.Vritsiou, Beatrice-Helen.
