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

出版者	(Providence, Rhode Island : American Mathematical Society)
出版年	[2014]
大きさ	1 online resource (xx, 594 pages)
著者標目	*Brazitikos, Silouanos 1990- author Giannopoulos, Apostolos 1963- author Valettas, Petros 1982- author Vritsiou, Beatrice-Helen author
件　名	LCSH:Convex geometry LCSH:Banach lattices FREE:Convex and discrete geometry -- General convexity -- General convexity  全ての件名で検索 FREE:Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Normed linear spaces and Banach spaces; Banach lattices  全ての件名で検索 FREE:Probability theory and stochastic processes -- Geometric probability and stochastic geometry -- Geometric probability and stochastic geometry  全ての件名で検索 FREE:Measure and integration -- Classical measure theory -- Classical measure theory  全ての件名で検索
内容注記	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
一般注記	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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