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math.CO2022
Cores of partitions in rectangles
Arvind Ayyer, Shubham Sinha
For a positive integer , the -core of a partition plays an important role in modular representation theory and combinatorics. We initiate the study of -cores of par…
math.CO2022★ 7 cited
Modified Macdonald polynomials and the multispecies zero range process: II
Arvind Ayyer, Olya Mandelshtam, James B. Martin
In a previous part of this work, we gave a new tableau formula for the modified Macdonald polynomials , using a weight on tableaux involving the \emph{queue…
math.CO2022
The monopole-dimer model on Cartesian products of plane graphs
Anita Arora, Arvind Ayyer
The monopole-dimer model is a signed variant of the monomer-dimer model which has determinantal structure. We extend the monopole-dimer model for planar graphs (Math. Phys. Anal. G…