Free Infinite Divisibility for Ultrasphericals
Probability
2012-08-01 v1 Operator Algebras
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 infnite divisibility of the classical Gaussian distribution.
Cite
@article{arxiv.1207.7258,
title = {Free Infinite Divisibility for Ultrasphericals},
author = {Octavio Arizmendi and Serban T. Belinschi},
journal= {arXiv preprint arXiv:1207.7258},
year = {2012}
}
Comments
10 pages