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arXiv · 2202.06774

Random zonotopes and valuations

Rolf Schneider
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Abstract

We define a random zonotope in Euclidean space, by adding finitely many random segments, which are independently and identically distributed. For this random polytope, we determine, under a mild assumption on the distribution, the expectations of the intrinsic volumes, more generally, the expectations of suitable valuations. We also prove a central limit theorem for a valuation evaluated at these random zonotopes.

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Rolf Schneider. 2022-02-14. Random zonotopes and valuations. https://arxiv.org/abs/2202.06774

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