On a bijection of Loehr and Remmel

2026/07/27 by Michele D'Adderio, Alessio Sgubin
Mathematics · #math.CO

paper · pdf

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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