English

Cumulants in noncommutative probability II. Generalized Gaussian random variables

Combinatorics 2007-05-23 v2 Operator Algebras

Abstract

We continue the investigation of noncommutative cumulants. In this paper various characterizations of noncommutative Gaussian random variables are proved.

Cite

@article{arxiv.math/0210443,
  title  = {Cumulants in noncommutative probability II. Generalized Gaussian random variables},
  author = {Franz Lehner},
  journal= {arXiv preprint arXiv:math/0210443},
  year   = {2007}
}

Comments

14 pages, AMS-LaTeX; many corrections according to the referee; to appear in Prob Th Rel Fields