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Comptes Rendus Mathematique
Volumn 346, Issue 15-16, 2008, Pages 853-856
Smallest singular value of random matrices with independent columns
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EID: 49649124324     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2008.07.011     Document Type: Article
Times cited : (19)
References (10)
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    • Sampling convex bodies: a random matrix approach
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    • Aubrun G. Sampling convex bodies: a random matrix approach. Proc. Amer. Math. Soc. 135 (2007) 1293-1303 (electronic)
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    • Aubrun, G.1
  • 2
    • 29144493573 scopus 로고    scopus 로고
    • Geometric probability and random cotype 2
    • GAFA, Springer, Berlin
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    • Gluskin, E.1    Milman, V.2
  • 3
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    • p-moments of random vectors via majorizing measures
    • p-moments of random vectors via majorizing measures. Adv. Math. 208 (2007) 798-823
    • (2007) Adv. Math. , vol.208 , pp. 798-823
    • Guédon, O.1    Rudelson, M.2
  • 4
    • 84972579545 scopus 로고
    • Volume estimates for log-concave densities with application to iterated convolutions
    • Junge M. Volume estimates for log-concave densities with application to iterated convolutions. Pacific J. Math. 169 (1995) 107-133
    • (1995) Pacific J. Math. , vol.169 , pp. 107-133
    • Junge, M.1
  • 5
    • 18644382839 scopus 로고    scopus 로고
    • Smallest singular value of random matrices and geometry of random polytopes
    • Litvak A.E., Pajor A., Rudelson M., and Tomczak-Jaegermann N. Smallest singular value of random matrices and geometry of random polytopes. Adv. Math. 195 (2005) 491-523
    • (2005) Adv. Math. , vol.195 , pp. 491-523
    • Litvak, A.E.1    Pajor, A.2    Rudelson, M.3    Tomczak-Jaegermann, N.4
  • 6
    • 44249120165 scopus 로고    scopus 로고
    • On singular values of matrices with independent rows
    • Mendelson S., and Pajor A. On singular values of matrices with independent rows. Bernoulli 12 (2006) 761-773
    • (2006) Bernoulli , vol.12 , pp. 761-773
    • Mendelson, S.1    Pajor, A.2
  • 7
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    • G. Paouris, personal communication
    • G. Paouris, personal communication
  • 8
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    • Invertibility of random matrices: norm of the inverse
    • Rudelson M. Invertibility of random matrices: norm of the inverse. Ann. of Math. 168 (2008) 575-600
    • (2008) Ann. of Math. , vol.168 , pp. 575-600
    • Rudelson, M.1
  • 9
    • 41049114969 scopus 로고    scopus 로고
    • The Littlewood-Offord problem and invertibility of random matrices
    • Rudelson M., and Vershynin R. The Littlewood-Offord problem and invertibility of random matrices. Adv. Math. 218 (2008) 600-633
    • (2008) Adv. Math. , vol.218 , pp. 600-633
    • Rudelson, M.1    Vershynin, R.2
  • 10
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    • T. Tao, V. Vu, Inverse Littlewood-Offord theorems and the condition number of random discrete matrices, Ann. of Math., in press
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.