TY  - BOOK
AU  - Artstein-Avidan,Shiri
AU  - Giannopoulos,Apostolos
AU  - Milman,Vitali D.
TI  - Asymptotic geometric analysis
T2  - Mathematical surveys and monographs
SN  - 9781470421939 
U1  - 510MS 23
PY  - 2015///
CY  - Providence :     
PB  - American Mathematical Society,   
KW  - Geometric analysis
KW  - Functional analysis
N1  - Includes bibliographical references and indexes; 1. Convex bodies: Classical geometric inequalities --
2. Classical positions of convex bodies --
3. Isomorphic isoperimetric inequalities and concentration of measure --
4. Metric entropy and covering numbers estimates --
5. Almost Euclidean subspaces of finite dimensional normed spaces --
6. The $\ell$-position and the Rademacher projection --
7. Proportional theory --
8. M-position and the reverse Brunn-Minkowski inequality --
9. Gaussian approach --
10. Volume distribution in convex bodies --
Appendix A.  Elementary convexity --
Appendix B. Advanced convexity --
Bibliography --
Subject index --
Author index
N2  - Presents the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. A central theme in this book is the interaction of randomness and pattern. The book is intended for graduate students and researchers who want to learn about this exciting subject
ER  -