# 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} }

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

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