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Proceedings of the American Mathematical Society

Volumn 136, Issue 9, 2008, Pages 3293-3300

On the isotropy constant of random convex sets

(1) Alonso Gutierrez, David a

a UNIVERSITY OF ZARAGOZA (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70450221753 PISSN: 00029939 EISSN: None Source Type: Journal
DOI: 10.1090/S0002-9939-08-09487-2 Document Type: Article

Times cited : (29)

References (9)

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- Bourgain, J.¹

3
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- Minkowski sums and symmetrizations. GAFA Seminar 1986-87
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- (1988) Springer Lecture Notes in Math. , vol.1317 , pp. 44-66
- Bourgain, J.¹ Lindenstrauss, J.² Milman, V.D.³

4
- 0002542941
- Extremal properties of orthogonal parallelepipeds and their applications to the geometry of Banach spaces
- English translation. MR945901 (89j:46016)
- Gluskin, E.D. Extremal properties of orthogonal parallelepipeds and their applications to the geometry of Banach spaces. Math. USSR-Sb. 64 (1989), pp. 85-96. English translation. MR945901 (89j:46016)
- (1989) Math. USSR-Sb. , vol.64 , pp. 85-96
- Gluskin, E.D.¹

5
- 33846809116
- On convex perturbations with a bounded isotropic constant
- MR2276540 (2007i:52005)
- Klartag, B. On convex perturbations with a bounded isotropic constant. Geom. Funct. Anal. 16 (2006), no. 6, pp. 1274-1290. MR2276540 (2007i:52005)
- (2006) Geom. Funct. Anal. , vol.16 , Issue.6 , pp. 1274-1290
- Klartag, B.¹

6
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- (Preprint)
- Klartag, B.; Kozma, G. On the hyperplane conjecture on random convex sets. (Preprint).
- On the Hyperplane Conjecture on Random Convex Sets.
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7
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- The isotropy constants of the schatten classes are bounded
- König, H.; Meyer, M.; Pajor, A. The isotropy constants of the Schatten classes are bounded. Math. Ann. 312 (1998), no. 4, pp. 773-783. MR1660231 (99j:52003) (Pubitemid 128370839)
- (1998) Mathematische Annalen , vol.312 , Issue.4 , pp. 773-783
- Konig, H.¹ Meyer, M.² Pajor, A.³

8
- 18644382839
- Smallest singular value of random matrices and geometry of random polytopes
- DOI 10.1016/j.aim.2004.08.004, PII S0001870804002750
- Litvak, A.E.; Pajor, A.; Rudelson, M.; Tomczak-Jaegermann, N. Smallest singular value of random matrices and geometry of random polytopes. Adv. Math. 195 (2005), pp. 491-523. MR2146352 (2006g:52009) (Pubitemid 40664844)
- (2005) Advances in Mathematics , vol.195 , Issue.2 , pp. 491-523
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9
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- Milman, V.; Pajor, A. Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space, GAFA Seminar 1987-88, Springer Lecture Notes in Math. 1376, Springer, Berlin (1989), pp. 64-104. MR1008717 (90g:52003)
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- Milman, V.¹ Pajor, A.²

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