Failure of the Raikov theorem for free random variables
Operator Algebras
2007-05-23 v1 Probability
Abstract
We show that the sum of two free random variables can have a free Poisson law without any of them having a free Poisson law.
Cite
@article{arxiv.math/0406079,
title = {Failure of the Raikov theorem for free random variables},
author = {Florent Benaych-Georges},
journal= {arXiv preprint arXiv:math/0406079},
year = {2007}
}
Comments
7 pages, to appear in Seminaire de Probabilites