arXiv Analytics

Sign in

arXiv:math/0406079 [math.OA]AbstractReferencesReviewsResources

Failure of the Raikov theorem for free random variables

Florent Benaych-Georges

Published 2004-06-04Version 1

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.

Comments: 7 pages, to appear in Seminaire de Probabilites
Categories: math.OA, math.PR
Subjects: 46L54, 60E07
Related articles: Most relevant | Search more
arXiv:2101.09444 [math.OA] (Published 2021-01-23)
On the anti-commutator of two free random variables
arXiv:0706.0323 [math.OA] (Published 2007-06-04)
Multiplication of free random variables and the S-transform: the case of vanishing mean
arXiv:1403.5300 [math.OA] (Published 2014-03-20)
On the Lukacs property for free random variables