Fix-Mahonian Calculus III; a Quadruple Distribution

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dc.creatorFoata, Dominique
dc.creatorHan, Guo-Niu
dc.date2007-03-15
dc.date.accessioned2026-07-07T07:52:07Z
dc.date.available2026-07-07T07:52:07Z
dc.descriptionA four-variable distribution on permutations is derived, with two dual combinatorial interpretations. The first one includes the number of fixed points "fix", the second the so-called "pix" statistic. This shows that the duality between derangements and desarrangements can be extended to the case of multivariable statistics. Several specializations are obtained, including the joint distribution of (des, exc), where "des" and "exc" stand for the number of descents and excedances, respectively.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0703454
dc.identifierhttp://arxiv.org/abs/math/0703454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125761
dc.subjectCombinatorics
dc.titleFix-Mahonian Calculus III; a Quadruple Distribution
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