Concentration of mass on isotropic convex bodies

Comptes Rendus Mathematique

Volumn 342, Issue 3, 2006, Pages 179-182

  Paouris, Grigoris ^a  

^a UNIVERSITY OF ATHENS   (Greece)

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[No Author keywords available]

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EID: 30544440619     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.11.018     Document Type: Article

References (13)

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2. S.G. Bobkov F.L. Nazarov On convex bodies and log-concave probability measures with unconditional basis in: V.D. Milman G. Schechtman (Eds.) Geom. Aspects of Funct. Analysis Lecture Notes in Math. vol. 1807 2003 Springer pp. 53-69
3. S.G. Bobkov F.L. Nazarov Large deviations of typical linear functionals on a convex body with unconditional basis Stochastic Inequalities and Applications in: Progr. Probab. vol. 56 2003 Birkhäuser Basel pp. 3-13
4. J. Bourgain Random points in isotropic convex bodies in: Convex Geometric Analysis, Berkeley, CA, 1996 in: Math. Sci. Res. Inst. Publ. vol. 34 1999 Cambridge Univ. Press Cambridge pp. 53-58
5. O. Guédon and G. Paouris, Concentration of mass on the Schatten classes, Preprint
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7. E. Lutwak D. Yang G. Zhang L p affine isoperimetric inequalities J. Differential Geom. 56 2000 111-132
8. E. Lutwak G. Zhang Blaschke-Santaló inequalities J. Differential Geom. 47 1997 1-16
9. V.D. Milman A. Pajor Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space in: X. Lindenstrauss V.D. Milman (Eds.) Geom. Aspects of Funct. Analysis Lecture Notes in Math. vol. 1376 1989 Springer pp. 64-104
10. V.D. Milman G. Schechtman Global versus local asymptotic theories of finite-dimensional normed spaces Duke Math. J. 90 1997 73-93
11. G. Paouris Concentration of mass and central limit properties of isotropic convex bodies Proc. Amer. Math. Soc. 133 2 2005 565-575
12. 2-behavior of linear functionals on isotropic convex bodies Studia Math. 168 3 2005 285-299
13. M. Rudelson Random vectors in the isotropic position J. Funct. Anal. 164 1999 60-72