论文标题
随机地位和估值
Random zonotopes and valuations
论文作者
论文摘要
我们通过添加有限的许多随机段来独立且分布相同的随机段来定义欧几里得空间中的随机扎根。对于这种随机的多面体，我们在对分布的温和假设下确定了内在体积的期望，更普遍地是对合适估值的期望。我们还证明了在这些随机界限上评估的估值的中心限制定理。
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.
