MONOTONE INDEPENDENCE IS ASSOCIATIVE-Reference-Cited by-同舟云学术

MONOTONE INDEPENDENCE IS ASSOCIATIVE

Published:2001-09 Issue:03 Volume:04 Page:401-407
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

FRANZ UWE¹

Affiliation:

1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Jahnstraße 15a, D-17487 Greifswald, Germany

Abstract

It is shown that the notion of monotone independence introduced by Muraki and Lu leads to an associative product of quantum probability spaces. This product is then used to define monotone Lévy processes on dual semigroups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025701000565

Reference4 articles.

1. The free creation and annihilation operators as the central limit of the quantum Bernoulli process

2. Noncommutative Brownian Motion in Monotone Fock Space

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