Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shuffle-compatible permutation statistics II: the exterior peak set   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 is stronger than
shuffle-compatibility. We prove that Epk and a few other statistics are
LR-shuffle-compatible. Furthermore, we connect these concepts with the
quasisymmetric functions, in particular the dendriform structure on them.

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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an