Abstract
In the random mosaic generated by a stationary Poisson hyperplane process in ℝd, we consider the typical k-face weighted by the j-dimensional volume of the j-skeleton (0≤j≤k≤d). We prove sharp lower and upper bounds for the expected number of its vertices.
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Schneider, R. Vertex Numbers of Weighted Faces in Poisson Hyperplane Mosaics. Discrete Comput Geom 44, 599–607 (2010). https://doi.org/10.1007/s00454-010-9260-5
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DOI: https://doi.org/10.1007/s00454-010-9260-5