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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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Mathematical Surveys and Monographs 9781470415266
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EB00103180

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データ種別 電子ブック
分 類 LCC:QA331.5
DC23:516.3/62
書誌ID 4000113124
ISBN 9781470415266

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