Geodesic
Free Probability Theory and Non-Crossing Partitions
Séminaire lotharingien de combinatoire, Tome 39 (1997)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Voiculescu's free probability theory -- which was introduced in an operator algebraic context, but has since then developed into an exciting theory with a lot of links to other fields -- has an interesting combinatorial facet: it can be described by the combinatorial concept of multiplicative functions on the lattice of non-crossing partitions. In this survey I want to explain this connection -- without assuming any knowledge neither on free probability theory nor on non-crossing partitions. 

@article{SLC_1997_39_a2,
     author = {Roland Speicher},
     title = {Free {Probability} {Theory} and {Non-Crossing} {Partitions}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {39},
     year = {1997},
     url = {http://geodesic.mathdoc.fr/item/SLC_1997_39_a2/}
}
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JO  - Séminaire lotharingien de combinatoire
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UR  - http://geodesic.mathdoc.fr/item/SLC_1997_39_a2/
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%A Roland Speicher
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%J Séminaire lotharingien de combinatoire
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Roland Speicher. Free Probability Theory and Non-Crossing Partitions. Séminaire lotharingien de combinatoire, Tome 39 (1997). http://geodesic.mathdoc.fr/item/SLC_1997_39_a2/