A general non-commutative limit theorem
type: Item
instance of: scholarly article
zbMATH Open document ID: 0984.60032
publication date: 2002-04-21T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 81S25
zbMATH DE Number: 1679858
MaRDI profile type: Publication
author: T. C. Dorlas
author: K. Neammanee
title: A general non-commutative limit theorem
published in: Markov Processes and Related Fields
review text: The authors show a limit theorem for a scaling limit over the number of particles of certain operators on the boson Fock space and conjecture a second, more complicated one. It remains obscure both in how far this is a central limit theorem and in how far this is a general limit theorem. (Neither inclusion of the classical central limit theorem nor of well-known noncommutative central limit theorems like that by Giri and von Waldenfels, Voiculescu, or Speicher and von Waldenfels is explained).
reviewed by: Michael Skeide
description: scientific article; zbMATH DE number 1679858