Shuffle-Compatible Permutation Statistics II: The Exterior Peak Set

@article{Grinberg2018ShuffleCompatiblePS,
  title={Shuffle-Compatible Permutation Statistics II: The Exterior Peak Set},
  author={D. Grinberg},
  journal={Electron. J. Comb.},
  year={2018},
  volume={25},
  pages={P4.17}
}
  • D. Grinberg
  • Published 2018
  • Mathematics, Computer Science
  • Electron. J. Comb.
  • This is a continuation of arXiv:1706.00750 by Gessel and Zhuang (but can be read independently from the latter). We study the shuffle-compatibility of permutation statistics -- a concept introduced in arXiv:1706.00750, although various instances of it have appeared throughout the literature before. We prove that (as Gessel and Zhuang have conjectured) the exterior peak set statistic (Epk) is shuffle-compatible. We furthermore introduce the concept of an "LR-shuffle-compatible" statistic, which… CONTINUE READING

    Topics from this paper.

    Bijective proofs of shuffle compatibility results
    On Quasisymmetric Functions with Two Bordering Variables

    References

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