Crossing and alignments of permutations
Corteel, Sylvie
HAL, hal-00004825 / Harvested from HAL
Text on HAL
We introduce the notion of crossings and nestings of a permutation. We compute the generating function of permutations with a fixed number of weak exceedances, crossings and nestings. We link alignments and permutation patterns to these statistics. We generalize to the case of decorated permutations. Finally we show how this is related to the stationary distribution of the Partially ASymmetric Exclusion Process (PASEP) model.
Publié le : 2006-01-19
Classification:  enumerative combinatorics,  permutations,  eulerian numbers,  q-analogs,  05A17,  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00004825,
     author = {Corteel, Sylvie},
     title = {Crossing and alignments of permutations},
     journal = {HAL},
     volume = {2006},
     number = {0},
     year = {2006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00004825}
}

Corteel, Sylvie. Crossing and alignments of permutations. HAL, Tome 2006 (2006) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004825/