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Asymptotic geometric analysis / Shiri Artstein-Avidan, Apostolos Giannopoulos and Vitali D. Milman.

By: Contributor(s): Material type: TextTextSeries: Mathematical surveys and monographs ; v 202.Publication details: Providence : American Mathematical Society, 2015.Description: xix, 451 p. : illustrations ; 26 cmISBN:
  • 9781470421939
Subject(s): DDC classification:
  • 510MS 23 Am512
Contents:
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.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510MS Am512 (Browse shelf(Opens below)) Available 136737
Total holds: 0

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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