23 citations · 126 across the 30 of their papers we have counts for
27 papers · 1 filter
A Loehr-Remmel bijection in the grid and sandpiles
Michele D'Adderio, Alessio Sgubin
We extend the statistic of Loehr and Remmel to labelled Dyck paths in the grid, and generalize their bijection sending the bistatistic $(\mathsf{dinv}…
Leaving the Hall: explicit formulas for Negut operators
Michele D'Adderio, Giovanni Interdonato, Alessandro Iraci +1
Recent major breakthroughs in -combinatorics include the introduction of the Dyck path algebra by Carlsson and Mellit and of the Catalanimals by Blasiak et…
On a bijection of Loehr and Remmel
Michele D'Adderio, Alessio Sgubin
In this expository article we review a remarkable bijection due to Loehr and Remmel from the set of parking functions of size n into itself, which sends the bistatistic (dinv…
Macdonald characters from a new formula for Macdonald polynomials
Houcine Ben Dali, Michele D'Adderio
We introduce a new operator on symmetric functions, which enables us to obtain a creation formula for Macdonald polynomials. This formula provides a connection between the theo…
Shuffle theorems and sandpiles
Michele D'Adderio, Mark Dukes, Alessandro Iraci +3
We provide an explicit description of the recurrent configurations of the sandpile model on a family of graphs , which we call clique-independent graphs, indexed…
Some consequences of the valley Delta conjectures
Michele D'Adderio, Alessandro Iraci
In (Haglund, Remmel, Wilson 2018) Haglund, Remmel and Wilson introduced their Delta conjectures, which give two different combinatorial interpretations of the symmetric function $Δ…