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＜E-Book＞
Asymptotic geometric analysis / Shiri Artstein-Avidan, Apostolos Giannopoulos, Vitali D. Milman
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 202)

Publisher	Providence, Rhode Island : American Mathematical Society
Year	[2015]
Size	1 online resource (xix, 451 pages : illustrations)
Authors	*Artstein-Avidan, Shiri 1978- Giannopoulos, Apostolos 1963- Milman, Vitali D. 1939-
Subjects	LCSH:Geometric analysis LCSH:Functional analysis FREE:Convex and discrete geometry -- General convexity -- General convexity  All Subject Search FREE:Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Normed linear spaces and Banach spaces; Banach lattices  All Subject Search FREE:Probability theory and stochastic processes -- Geometric probability and stochastic geometry -- Geometric probability and stochastic geometry  All Subject Search FREE:Measure and integration -- Classical measure theory -- Classical measure theory  All Subject Search FREE:Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Geometry and structure of normed linear spaces  All Subject Search FREE:Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Probabilistic methods in Banach space theory  All Subject Search FREE:Convex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces)  All Subject Search FREE:Convex and discrete geometry -- General convexity -- Finite-dimensional Banach spaces (including special norms, zonoids, etc.)  All Subject Search FREE:Convex and discrete geometry -- General convexity -- Asymptotic theory of convex bodies  All Subject Search FREE:Computer science -- Research exposition (monographs, survey articles)  All Subject Search
Contents	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 $\ell $-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 Appendix A. Elementary convexity Appendix B. Advanced convexity
Notes	Includes bibliographical references (pages 415-437) and indexes Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2015 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/202 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/202 Information=Contents

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