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Volumn 32, Issue 1 B, 2004, Pages 1140-1167

The lkimit shape of the zero cell in a stationary poisson hyperplane tessellation

Author keywords

Asymptotic shape; Crofton cell; D. G. Kendall's conjecture; Hyperplane tessellation; Poisson hyperplane process; Typical cell; Zero cell

Indexed keywords


EID: 2142640516     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1079021474     Document Type: Article
Times cited : (39)

References (12)
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  • 2
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    • Sur une conjecture de D. G. Kendall concernant la cellule de Crofton du plan et sur sa contrepartie brownienne
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    • Goldman, A.1
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    • Groemer, H.1
  • 4
    • 35848971039 scopus 로고    scopus 로고
    • A proof of a conjecture of David Kendall on the shape of random polygons of large area
    • KOVALENKO, I. N. (1997). A proof of a conjecture of David Kendall on the shape of random polygons of large area. Kibernet. Sistem. Anal. 1997 3-10, 187. (English translation in Cybernet. Systems Anal. 33 461-467.)
    • (1997) Kibernet. Sistem. Anal. , vol.1997 , pp. 3-10
    • Kovalenko, I.N.1
  • 5
    • 35848971039 scopus 로고    scopus 로고
    • English translation
    • KOVALENKO, I. N. (1997). A proof of a conjecture of David Kendall on the shape of random polygons of large area. Kibernet. Sistem. Anal. 1997 3-10, 187. (English translation in Cybernet. Systems Anal. 33 461-467.)
    • Cybernet. Systems Anal. , vol.33 , pp. 461-467
  • 6
    • 0012483780 scopus 로고    scopus 로고
    • A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons
    • KOVALENKO, I. N. (1999). A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons. J. Appl. Math. Stochastic Anal. 12 301-310.
    • (1999) J. Appl. Math. Stochastic Anal. , vol.12 , pp. 301-310
    • Kovalenko, I.N.1
  • 7
    • 0032661715 scopus 로고    scopus 로고
    • On the relationship between the 0-cell and the typical cell of a stationary random tessellation
    • MECKE, J. (1999). On the relationship between the 0-cell and the typical cell of a stationary random tessellation. Pattern Recognition 32 1645-1648.
    • (1999) Pattern Recognition , vol.32 , pp. 1645-1648
    • Mecke, J.1
  • 8
    • 0000819875 scopus 로고
    • A heuristic proof of a long-standing conjecture of D. G. Kendall concerning the shapes of certain large random polygons
    • MILES, R. E. (1995). A heuristic proof of a long-standing conjecture of D. G. Kendall concerning the shapes of certain large random polygons. Adv. in Appl. Probab. 27 397-417.
    • (1995) Adv. in Appl. Probab. , vol.27 , pp. 397-417
    • Miles, R.E.1
  • 9
    • 0001153305 scopus 로고
    • Random hyperplanes meeting a convex body
    • SCHNEIDER, R. (1982). Random hyperplanes meeting a convex body. Z. Wahrsch. Verw. Gebiete 61 379-387.
    • (1982) Z. Wahrsch. Verw. Gebiete , vol.61 , pp. 379-387
    • Schneider, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.