메뉴 건너뛰기




Volumn 41, Issue 2, 2000, Pages 1-28

Asymptotics of cross sections for convex bodies

Author keywords

Central limit theorem; Convex body; Cross section; Isotropic; Marginal distribution

Indexed keywords


EID: 52849115033     PISSN: 01384821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (38)

References (16)
  • 4
    • 0000652215 scopus 로고    scopus 로고
    • Hyperplane sections of convex bodies in isotropic position
    • Fradelizi, M.: Hyperplane sections of convex bodies in isotropic position. Beiträge Algebra Geom. 40 (1999), 163-183.
    • (1999) Beiträge Algebra Geom. , vol.40 , pp. 163-183
    • Fradelizi, M.1
  • 6
    • 84966202346 scopus 로고
    • Slicing convex bodies - Bounds for slice area in terms of the body's covariance
    • Hensley, D.: Slicing convex bodies - bounds for slice area in terms of the body's covariance. Proc. Amer. Math. Soc. 79 (1980), 619-625.
    • (1980) Proc. Amer. Math. Soc. , vol.79 , pp. 619-625
    • Hensley, D.1
  • 8
    • 0000422775 scopus 로고
    • Geometry in differential space
    • McKean, H. P.: Geometry in differential space. Ann. Probab. 1 (1973), 197-206.
    • (1973) Ann. Probab. , vol.1 , pp. 197-206
    • McKean, H.P.1
  • 9
    • 0002417176 scopus 로고
    • A new proof of a theorem of A. Dvoretzky on sections of convex bodies
    • Milman, V. D.: A new proof of a theorem of A. Dvoretzky on sections of convex bodies. Funct. Anal. Appl. 5 (1971), 28-37.
    • (1971) Funct. Anal. Appl. , vol.5 , pp. 28-37
    • Milman, V.D.1
  • 10
    • 0002904748 scopus 로고
    • Isotropic position and inertia ellipsoids and zonoids of the unit ball af a normed n-dimensional space
    • Geometric Aspects of Functional Analysis (J. Lindenstrauss and V. D. Milman, eds.), Springer
    • Milman, V. D.; Pajor, A.: Isotropic position and inertia ellipsoids and zonoids of the unit ball af a normed n-dimensional space. Geometric Aspects of Functional Analysis (J. Lindenstrauss and V. D. Milman, eds.), Lecture Notes in Math. 1376, Springer 1989, pp. 64-104.
    • (1989) Lecture Notes in Math. , vol.1376 , pp. 64-104
    • Milman, V.D.1    Pajor, A.2
  • 11
    • 0003270948 scopus 로고
    • Asymptotic theory of finite dimensional normed spaces
    • Springer, Berlin
    • Milman, V. D.; Schechtman, G.: Asymptotic theory of finite dimensional normed spaces. Lecture Notes in Math. 1200, Springer, Berlin 1986.
    • (1986) Lecture Notes in Math. , vol.1200
    • Milman, V.D.1    Schechtman, G.2
  • 15
    • 0030522124 scopus 로고    scopus 로고
    • A new look at independence
    • Talagrand, M.: A new look at independence. Ann. Probab. 24 (1996), 1-34.
    • (1996) Ann. Probab. , vol.24 , pp. 1-34
    • Talagrand, M.1
  • 16
    • 52849128064 scopus 로고    scopus 로고
    • A concentration of mass property for isotropic convex bodies in high dimensions
    • to appear
    • Voigt, J.: A concentration of mass property for isotropic convex bodies in high dimensions. Israel J. Math., to appear.
    • Israel J. Math.
    • Voigt, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.