Random zonotopes and valuations
Probability
2022-02-15 v1 Metric Geometry
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.
Cite
@article{arxiv.2202.06774,
title = {Random zonotopes and valuations},
author = {Rolf Schneider},
journal= {arXiv preprint arXiv:2202.06774},
year = {2022}
}