Some Limiting Laws in Non-Commutative Probability

Ayed. R. A. Alanzi; Raouf Fakhfakh; Fatimah Alshahrani

doi:10.3390/axioms13030173

Axioms (Mar 2024)

Some Limiting Laws in Non-Commutative Probability

Ayed. R. A. Alanzi,
Raouf Fakhfakh,
Fatimah Alshahrani

Affiliations

Ayed. R. A. Alanzi: Department of Mathematics, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia
Raouf Fakhfakh: Department of mathematics, College of Science and Arts in Gurayat, Jouf University, Gurayat 77454, Saudi Arabia
Fatimah Alshahrani: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

DOI: https://doi.org/10.3390/axioms13030173
Journal volume & issue: Vol. 13, no. 3
p. 173

Abstract

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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.

Published in Axioms

ISSN: 2075-1680 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/axioms

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