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Volumn 45, Issue 2, 2004, Pages 531-548

Asymptotic mean values of Gaussian polytopes

Author keywords

Convex hull; f vector; Gaussian sample; Geometric probability; Normal distribution; Random points; Stochastic geometry

Indexed keywords


EID: 8744247425     PISSN: 01384821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (40)

References (17)
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    • Affentranger, F.; Wieacker, J. A.: On the convex hull of uniform random points in a simple d-polytope. Discrete Comput. Geom. 6 (1991), 291-305. Zbl 0725.52004
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    • Affentranger, F.1    Wieacker, J.A.2
  • 3
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    • Affentranger, F.; Schneider, R.: Random projections of regular simplices. Discrete Comput. Geom. 7 (1992), 219-226. Zbl 0751.52002
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    • Affentranger, F.1    Schneider, R.2
  • 4
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    • Regular simplices and Gaussian samples
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    • Baryshnikov, Y. M.; Vitale, R. A.: Regular simplices and Gaussian samples. Discrete Comput. Geom. 11 (1994), 141-147. Zbl 0795.52002
    • (1994) Discrete Comput. Geom. , vol.11 , pp. 141-147
    • Baryshnikov, Y.M.1    Vitale, R.A.2
  • 5
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    • Random projections of regular polytopes
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    • Böröczky, K.; Henk, M.: Random projections of regular polytopes. Arch. Math. 73 (1999), 465-473. Zbl 0949.52001
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    • Hueter, I.1
  • 8
    • 0040182616 scopus 로고    scopus 로고
    • On random sections of the cube
    • Zbl 0944.60021
    • Lonke, Y.: On random sections of the cube. Discrete Comput. Geom. 23 (2000), 157-169. Zbl 0944.60021
    • (2000) Discrete Comput. Geom. , vol.23 , pp. 157-169
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  • 10
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    • Isotropic random simplices
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    • Miles, R. E.: Isotropic random simplices. Adv. Appl. Probab. 3 (1971), 353-382. Zbl 0237.60006
    • (1971) Adv. Appl. Probab. , vol.3 , pp. 353-382
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    • Discrete aspects of Stochastic geometry
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    • Schneider, R.: Discrete Aspects of Stochastic Geometry. In: Handbook of Discrete and Computational Geometry, J.E. Goodman and J. O'Rourke (eds), 2nd ed., CRC Press, Boca Raton (to appear). cf. edition 1997, 167-181. Zbl 0907.60019
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  • 14
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    • Silverstein, J. W.: The smallest eigenvalue of a large-dimensional Wishart matrix. Ann. Probab. 13 (1985), 1364-1368. Zbl 0591.60025
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  • 15
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    • Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem
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  • 16
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.