Random Euclidean embeddings in spaces of bounded volume ratio;Plongements aléatoires de l'espace euclidien dans un espace à volume ratio borné

Comptes Rendus Mathematique

Volumn 339, Issue 1, 2004, Pages 33-38

  Litvak, Alexander ^a   Pajor, Alain ^b   Rudelson, Mark ^c   Tomczak Jaegermann, Nicole ^a   Vershynin, Roman ^d  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITÉ GUSTAVE EIFFEL   (France)

^c UNIVERSITY OF MISSOURI   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942586622     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.04.019     Document Type: Article

References (10)

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3. Giannopoulos A. Milman V.D. On the diameter of proportional sections of a symmetric convex body Internat. Math. Res. Notices 1 1997 5-19
4. Kashin B. The widths of certain finite-dimensional sets and classes of smooth functions Izv. Akad. Nauk SSSR Ser. Mat. 41 1977 334-351 (in Russian)
5. A.E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, Smallest singular value of random matrices and geometry of random polytopes, submitted for publication
6. Milman V.D. Pajor A. Regularization of star bodies by random hyperplane cut off Studia Math. 159 2003 247-261
7. Pisier G. The Volume of Convex Bodies and Banach Space Geometry 1989 Cambridge University Press
8. 2k. Israel J. Math., in press
9. n Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 1978 691-694
10. Szarek S.J. Tomczak-Jaegermann N. On nearly Euclidean decomposition for some classes of Banach spaces Compositio Math. 40 1980 367-385