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- W2095156670 abstract "A variety of descent and major-index statistics have been defined for symmetric groups, hyperoctahedral groups, and their generalizations. Typically associated to pairs of such statistics is an Euler--Mahonian distribution, a bivariate generating function identity encoding these statistics. We use techniques from polyhedral geometry to establish new multivariate generalizations for many of the known Euler--Mahonian distributions. The original bivariate distributions are then straightforward specializations of these multivariate identities. A consequence of these new techniques are bijective proofs of the equivalence of the bivariate distributions for various pairs of statistics." @default.
- W2095156670 created "2016-06-24" @default.
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- W2095156670 date "2011-09-15" @default.
- W2095156670 modified "2023-09-27" @default.
- W2095156670 title "Euler-Mahonian Statistics via Polyhedral Geometry" @default.
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