Geodesic
Decreases and Descents in Words
Séminaire lotharingien de combinatoire, Tome 58 (2007-2008)

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

The generating function for words by a multivariable statistic involving decrease, increase, descent and rise values is explicitly calculated by using the MacMahon Master Theorem and the properties of the first fundamental transformation on words. Applications to statistical study of the symmetric group are also given. 

@article{SLC_2007-2008_58_a0,
     author = {Dominique Foata and Guo-Niu Han},
     title = {Decreases and {Descents} in {Words}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {58},
     year = {2007-2008},
     url = {http://geodesic.mathdoc.fr/item/SLC_2007-2008_58_a0/}
}
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PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2007-2008_58_a0/
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Dominique Foata; Guo-Niu Han. Decreases and Descents in Words. Séminaire lotharingien de combinatoire, Tome 58 (2007-2008). http://geodesic.mathdoc.fr/item/SLC_2007-2008_58_a0/