代数中心极限定理:威廉遗作之一的个人观点

Pub Date : 2022-05-23 DOI:10.1142/s0219025722500138

Michael Skeide

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引用次数: 1

摘要

提出从经典随机变量到量子随机变量的矩收敛的概念，导致了所谓的(经典和)量子随机变量的代数中心极限定理。我以一种非常个人的方式反思，这种想法是如何典型的做数学研究的精神，因为我在海德堡的威廉·冯·瓦尔登费尔斯的研究小组中了解到它。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Algebraic Central Limit Theorems: A Personal View on One of Wilhelm's Legacies

Bringing forward the concept of convergence in moments from classical random variables to quantum random variables is what leads to what can be called algebraic central limit theorem for (classical and) quantum random variables. I reﬂect in a very personal way how such an idea is typical for the spirit of doing research in mathematics as I learned it in Wilhelm von Waldenfels’s research group in Heidelberg.

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