Weighted faces of Poisson hyperplane tessellations
2009 ◽
Vol 41
(3)
◽
pp. 682-694
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Keyword(s):
We study lower-dimensional volume-weighted typical faces of a stationary Poisson hyperplane tessellation in d-dimensional Euclidean space. After showing how their distribution can be derived from that of the zero cell, we obtain sharp lower and upper bounds for the expected vertex number of the volume-weighted typical k-face (k=2,…,d). The bounds are respectively attained by parallel mosaics and by isotropic tessellations. We conclude with a remark on expected face numbers and expected intrinsic volumes of the zero cell.
2009 ◽
Vol 41
(03)
◽
pp. 682-694
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Keyword(s):
2014 ◽
Vol 46
(3)
◽
pp. 622-642
◽
2011 ◽
Vol 43
(2)
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pp. 308-321
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2014 ◽
Vol 46
(03)
◽
pp. 622-642
◽
2014 ◽
Vol 46
(04)
◽
pp. 919-936
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2010 ◽
Vol 42
(3)
◽
pp. 605-619
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Keyword(s):
2012 ◽
Vol 24
(08)
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pp. 1250021
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Keyword(s):