Non-commutative stochastic processes with independent increments

Autor:	Schürmann, Michael
Rok vydání:	2022
Předmět:	Mathematics - Operator Algebras Mathematics - Functional Analysis Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	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 L\'evy processes on structures like Hopf algebras developed from the ideas of Wilhelm von Waldenfels. Comment: This article is my contribution to the special volume of IDAQP in memory of Robin L. Hudson and Wilhelm von Waldenfels
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.05540 Zobrazit plný text záznamu View this record from Arxiv