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math.CO2024
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…
math.CO2024
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…