In this paper, we study the properties of extreme points of slice-stochastic tensors, and present an analogue of the Birkhoff–von Neumann theorem for slice-stochastic tensors. Some equivalent characterizations for a slice-stochastic tensor to be an extreme point are presented. The number of permutation tensors is also discussed.

中文翻译：

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关于切片随机张量的极点

在本文中，我们研究了切片随机张量的极点特性，并给出了切片随机张量的Birkhoff-von Neumann定理的类似物。提出了将切片随机张量设为极点的一些等效特征。还讨论了置换张量的数量。