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arXiv · 2607.24677

On a bijection of Loehr and Remmel

Michele D'Adderio·Alessio Sgubin
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Abstract

In this expository article we review a remarkable bijection $ϕ_n$ due to Loehr and Remmel from the set of parking functions of size n into itself, which sends the bistatistic (dinv, area) into the bistatistic (area, pmaj). The only novelty of the present work is our definition of $ϕ_n$, which is more direct than the original one, hence easier to compute and to work with.

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Michele D'Adderio, Alessio Sgubin. 2026-07-27. On a bijection of Loehr and Remmel. https://arxiv.org/abs/2607.24677

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