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＜E-Book＞
Geometry of isotropic convex bodies / Silouanos Brazitikos, Apostolos Giannopoulos, Petros Valettas, Beatrice-Helen Vritsiou
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 196)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2014]
Size	1 online resource (xx, 594 pages)
Authors	*Brazitikos, Silouanos 1990- author Giannopoulos, Apostolos 1963- author Valettas, Petros 1982- author Vritsiou, Beatrice-Helen author
Subjects	LCSH:Convex geometry LCSH:Banach lattices 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
Contents	Chapter 1. Background from asymptotic convex geometry Chapter 2. Isotropic log-concave measures Chapter 3. Hyperplane conjecture and Bourgain's upper bound Chapter 4. Partial answers Chapter 5. $L_q$-centroid bodies and concentration of mass Chapter 6. Bodies with maximal isotropic constant Chapter 7. Logarithmic Laplace transform and the isomorphic slicing problem Chapter 8. Tail estimates for linear functionals Chapter 9. $M$ and $M*$-estimates Chapter 10. Approximating the covariance matrix Chapter 11. Random polytopes in isotropic convex bodies Chapter 12. Central limit problem and the thin shell conjecture Chapter 13. The thin shell estimate Chapter 14. Kannan-Lov�asz-Simonovits conjecture Chapter 15. Infimum convolution inequalities and concentration Chapter 16. Information theory and the hyperplane conjecture
Notes	Includes bibliographical references (pages 565-583) and indexes Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2014 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/196 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/196 Information=Contents

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