Large Faces in Poisson Hyperplane Mosaics by Daniel Hug
نویسنده
چکیده
A generalized version of a well-known problem of D. G. Kendall states that the zero cell of a stationary Poisson hyperplane tessellation in Rd , under the condition that it has large volume, approximates with high probability a certain definite shape, which is determined by the directional distribution of the underlying hyperplane process. This result is extended here to typical kfaces of the tessellation, for k ∈ {2, . . . , d − 1}. This requires the additional condition that the direction of the face be in a sufficiently small neighbourhood of a given direction.
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تاریخ انتشار 2010