From the 1 of 5 linked papers with an AI index.
5 papers
Leaving the Hall: explicit formulas for Neguţ 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 (din…
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, Hélène Barcelo, François Bergeron +18
The paper is a biographical tribute honoring the life and career of mathematician Adriano Garsia, outlining his personal background, education, and academic positions.
Mapping Uncharted Symmetries: Machine Discovery in Combinatorics
Eugenio Cainelli, Lorenzo Luccioli, Alessandro Iraci +2
Inspired by long-standing open problems in algebraic combinatorics, we show that modern machine learning can meaningfully contribute to verifiable mathematical discoveries. In part…
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 the…