Alexander Burstein - On joint distribution of adjacencies, descents and some Mahonian statistics

dmtcs:2846 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) - https://doi.org/10.46298/dmtcs.2846
On joint distribution of adjacencies, descents and some Mahonian statisticsArticle

Authors: Alexander Burstein 1

  • 1 Department of Mathematics

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.

https://doi.org/10.46298/dmtcs.2846
Source: HAL:hal-01186274v1
Volume: DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
Section: Proceedings
Published on: January 1, 2010
Imported on: January 31, 2017
Keywords: permutation statistic,Eulerian,Mahonian,descent,adjacency,pattern,permutation tableau,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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