Relations between cumulants in noncommutative probability
Combinatorics
2019-07-29 v1 Operator Algebras
Abstract
We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely determine the coefficients of these formulas with the exception of the formula for classical cumulants in terms of monotone cumulants whose coefficients are only partially computed.
Cite
@article{arxiv.1408.2977,
title = {Relations between cumulants in noncommutative probability},
author = {Octavio Arizmendi and Takahiro Hasebe and Franz Lehner and Carlos Vargas},
journal= {arXiv preprint arXiv:1408.2977},
year = {2019}
}
Comments
27 pages, 7 figures, AMS LaTeX