论文标题
独立增量的非交流随机过程
Non-commutative stochastic processes with independent increments
论文作者
论文摘要
本文介绍了Wilhelm von Waldenfels在量子（或非交通）概率理论的数学领域中的研究。 Wilhelm von Waldenfels是量子概率的先驱，甚至是创始人之一。我们专注于他的科学工作的一小部分。实际上根本没有提及物理学的各个方面。他在群体（Waldenfels运营商）的经典概率方面没有什么结果。这是一种尝试，以表明如何从威廉·冯·沃尔登菲尔斯（Wilhelm von Waldenfels）的思想中发展出诸如霍普夫代数之类的霍普夫代数等结构上的非共同概念和莱维过程的概念。
This article is on the research of Wilhelm von Waldenfels in the mathematical field of quantum (or non-commutative) probability theory. Wilhelm von Waldenfels was one of the pioneers, even one of the founders, of quantum probability. We concentrate on a small part of his scientific work. The aspects of physics are practically not mentioned at all. There is nothing on his results in classical probability on groups (Waldenfels operators). This is an attempt to show how the concepts of non-commutative notions of independence and of Lévy processes on structures like Hopf algebras developed from the ideas of Wilhelm von Waldenfels.
