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On joint distribution of adjacencies, descents and some Mahonian statistics

Abstract : We prove several conjectures of Eriksen regarding the joint distribution on permutations of the number of adjacencies (descents with consecutive values in consecutive positions), descents and some Mahonian statistics. We also prove Eriksen's conjecture that a certain bistatistic on Viennot's alternative tableaux is Euler-Mahonian.
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https://hal.inria.fr/hal-01186274
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Alexander Burstein. On joint distribution of adjacencies, descents and some Mahonian statistics. 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 2010, San Francisco, United States. pp.601-612. ⟨hal-01186274⟩

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