Asymptotic Geometric Analysis, Part I ( Mathematical Surveys and Monographs )

Publication series ：Mathematical Surveys and Monographs

Author： Shiri Artstein-Avidan;Apostolos Giannopoulos;Vitali D. Milman  

Publisher： American Mathematical Society‎

Publication year： 2015

E-ISBN: 9781470423452

P-ISBN(Paperback): 9781470421939

Subject： O18 geometric topology

Keyword： Analysis

Language： ENG

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Asymptotic Geometric Analysis, Part I

Chapter

Cover

Title page

Contents

Preface

Chapter 1. Convex bodies: Classical geometric inequalities

Chapter 2. Classical positions of convex bodies

Chapter 3. Isomorphic isoperimetric inequalities and concentration of measure

Chapter 4. Metric entropy and covering numbers estimates

Chapter 5. Almost Euclidean subspaces of finite dimensional normed spaces

Chapter 6. The ℓ-position and the Rademacher projection

Chapter 7. Proportional theory

Chapter 8. 𝑀-position and the reverse Brunn-Minkowski inequality

Chapter 9. Gaussian approach

Chapter 10. Volume distribution in convex bodies

Chapter 11. Elementary convexity

Chapter 12. Advanced convexity

Bibliography

Subject index

Author index

Back Cover

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