A Loehr-Remmel bijection in the $n\times kn$ grid and sandpiles

Michele D'Adderio, Alessio Sgubin

We extend the $\mathsf{pmaj}$ statistic of Loehr and Remmel to labelled Dyck paths in the $n\times kn$ grid, and generalize their bijection sending the bistatistic $(\mathsf{dinv}…