V-monotone independence
Functional Analysis
2019-01-21 v1 Combinatorics
Abstract
We introduce and study a new notion of non-commutative independence, called V-monotone independence, which can be viewed as an extension of the monotone independence of Muraki. We investigate the combinatorics of mixed moments of V-monotone random variables and prove the central limit theorem. We obtain a combinatorial formula for the limit moments and we find the solution of the differential equation for the moment generating function in the implicit form.
Keywords
Cite
@article{arxiv.1901.06342,
title = {V-monotone independence},
author = {Adrian Dacko},
journal= {arXiv preprint arXiv:1901.06342},
year = {2019}
}
Comments
30 pages, 4 figures