Free Infinite Divisibility for Q-Gaussians
Operator Algebras
2010-03-05 v1 Probability
Abstract
We prove that the q-Gaussian distribution introduced by Bozejko and Speicher is freely infinitely divisible for all q between zero and one.
Cite
@article{arxiv.1003.0935,
title = {Free Infinite Divisibility for Q-Gaussians},
author = {Michael Anshelevich and Serban Teodor Belinschi and Marek Bozejko and Franz Lehner},
journal= {arXiv preprint arXiv:1003.0935},
year = {2010}
}
Comments
11 pages, two figures