Non-crossing linked partitions and multiplication of free random variables

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.

9 pages, 8 figures

References in corpus (3)

• A new proof for the multiplicative property of the boolean cumulants with applications to operator-valued case
• On multiplicative conditionally free convolution
• Multilinear function series and transforms in free probability theory