Crossings and alignments of permutations

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dc.creatorCorteel, Sylvie
dc.date2005-05-02
dc.date.accessioned2026-07-07T05:19:35Z
dc.date.available2026-07-07T05:19:35Z
dc.descriptionWe derive the continued fraction form of the generating function of some new $q$-analogs of the Eulerian numbers $\hat{E}_{k,n}(q)$ introduced by Lauren Williams building on work of Alexander Postnikov. They are related to the number of alignments and weak exceedances of permutations. We show how these numbers are related to crossing and generalized patterns of permutations We generalize to the case of decorated permutations. Finally we show how these numbers appear naturally in the stationary distribution of the ASEP model.
dc.description11 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0505031
dc.identifierhttp://arxiv.org/abs/math/0505031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75068
dc.subjectCombinatorics
dc.subject05A17
dc.titleCrossings and alignments of permutations
dc.typetext

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