Asymptotic geometric analysis / Shiri Artstein-Avidan, Apostolos Giannopoulos and Vitali D. Milman.
Material type: TextSeries: Mathematical surveys and monographs ; v 202.Publication details: Providence : American Mathematical Society, 2015.Description: xix, 451 p. : illustrations ; 26 cmISBN:- 9781470421939
- 510MS 23 Am512
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Books | ISI Library, Kolkata | 510MS Am512 (Browse shelf(Opens below)) | Available | 136737 |
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510MS Am512 Ricci flow : | 510MS Am512 Persistence theory : from quiver representations to data analysis / | 510MS Am512 Fokker-Planck-Kolmogorov equations / | 510MS Am512 Asymptotic geometric analysis / | 510MS Am512 Foundation for PROPs, algebras, and modules / | 510MS Am512 Toric topology / | 510MS Am512 Dynamical Mordell-Lang conjecture / |
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.
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.
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