Non-crossing linked partitions and multiplication of free random variables

Details Non-crossing linked partitions and multiplication of free random variables Non-crossing linked partitions and multiplication of free random variables

2008-12-11

arxiv.org/abs/0812.2064v2

Mathematics

Operator Algebras

9 pages, 8 figures

Scientific paper

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.

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