%0 Journal Article %T Non-crossing linked partitions and multiplication of free random variables %A Mihai Popa %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0812.2064v2