FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS-Reference-Cited by-同舟云学术

FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS

Published:2013-03 Issue:01 Volume:16 Page:1350001
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:

ARIZMENDI OCTAVIO¹,BELINSCHI SERBAN T.²³

Affiliation:

1. Universität des Saarlandes, FR 6.1 - Mathematik, 66123 Saarbrücken, Germany

2. Department of Mathematics & Statistics, Queen's University, Jeffrey Hall, University Ave, Kingston, ON K7L 3N6, Canada

3. Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Romania

Abstract

We prove that the integral powers of the semicircular distribution are freely infinitely divisible. As a byproduct we get another proof of the free infinite divisibility of the classical Gaussian distribution.

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/S021902571350001X

Reference22 articles.

1. Free Infinite Divisibility for $q$-Gaussians

2. Integration over quantum permutation groups

3. Quantum Isometries and Noncommutative Spheres

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