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math.CO2024
Cumulants in rectangular finite free probability and beta-deformed singular values
Cesar Cuenca
Motivated by the -cumulants, introduced by Xu [arXiv:2303.13812] to study -deformed singular values of random matrices, we define the -rectangular cumulants for po…
math-ph2024
The Symplectic Schur Process
Cesar Cuenca, Matteo Mucciconi
We define a measure on tuples of partitions, called the symplectic Schur process, that should be regarded as the right analogue of the Schur process of Okounkov-Reshetikhin for the…