Non-crossing linked partitions and multiplication of free random variables
Operator Algebras
2009-01-26 v2 Combinatorics
Abstract
The material gives a new combinatorial proof of the multiplicative property of the S-transform. In particular, several properties of the coefficients of its inverse are connected to non-crossing linked partitions and planar trees.
Cite
@article{arxiv.0812.2064,
title = {Non-crossing linked partitions and multiplication of free random variables},
author = {Mihai Popa},
journal= {arXiv preprint arXiv:0812.2064},
year = {2009}
}
Comments
9 pages, 8 figures