Large Poisson-Voronoi Cells and Crofton Cells
نویسندگان
چکیده
It is proved that the shape of the typical cell of a stationary Poisson-Voronoi tessellation in Euclidean space, under the condition that the volume of the typical cell is large, must be close to spherical shape, with high probability. The same holds if the volume is replaced by the surface area or other suitable functionals. Similar results hold for the zero cell of a stationary and isotropic Poisson hyperplane tessellation.
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تاریخ انتشار 2003