Some Limiting Laws in Non-Commutative Probability-Reference-Cited by-同舟云学术

Some Limiting Laws in Non-Commutative Probability

Published:2024-03-07 Issue:3 Volume:13 Page:173
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Alanzi Ayed. R. A.¹²^ORCID,Fakhfakh Raouf²³,Alshahrani Fatimah⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia

2. Department of mathematics, College of Science and Arts in Gurayat, Jouf University, Gurayat 77454, Saudi Arabia

3. Laboratory of Probability and Statistics, Faculty of Sciences of Sfax, University of Sfax, Sfax 3029, Tunisia

4. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

In this article, we provide some new limiting laws related to the free multiplicative law of large numbers and involving free and Boolean additive convolutions. Some examples of these limiting laws are presented within the framework of non-commutative probability theory.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/3/173/pdf

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