Crossing and alignments of permutations
组合数学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0601469,
title = {Crossing and alignments of permutations},
author = {Sylvie Corteel},
journal= {arXiv preprint arXiv:math/0601469},
year = {2007}
}