Geodesic
Decreases and Descents in Words
Séminaire lotharingien de combinatoire, Tome 58 (2007-2008) 
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/
@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},
     year = {2007-2008},
     volume = {58},
     url = {http://geodesic.mathdoc.fr/item/SLC_2007-2008_58_a0/}
}
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AU  - Dominique Foata
AU  - Guo-Niu Han
TI  - Decreases and Descents in Words
JO  - Séminaire lotharingien de combinatoire
PY  - 2007-2008
VL  - 58
UR  - http://geodesic.mathdoc.fr/item/SLC_2007-2008_58_a0/
ID  - SLC_2007-2008_58_a0
ER  - 
%0 Journal Article
%A Dominique Foata
%A Guo-Niu Han
%T Decreases and Descents in Words
%J Séminaire lotharingien de combinatoire
%D 2007-2008
%V 58
%U http://geodesic.mathdoc.fr/item/SLC_2007-2008_58_a0/
%F SLC_2007-2008_58_a0

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.