An equivalence of multistatistics on permutations

Arthur Nunge

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arXiv · 1601.02928

An equivalence of multistatistics on permutations

Arthur Nunge

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Abstract

We prove a conjecture of J.-C. Novelli, J.-Y. Thibon, and L. K. Williams (2010) about an equivalence of two triples of statistics on permutations. To prove this conjecture, we construct a bijection through different combinatorial objects, starting with a Catalan based object related to the PASEP. As a byproduct of this research, we also provide a new co-sylvester class-preserving bijection on permutations.

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Arthur Nunge. 2018-05-04. An equivalence of multistatistics on permutations. https://arxiv.org/abs/1601.02928

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