Cesar Cuenca

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math.CO2026

Cumulants in rectangular finite free probability and beta-deformed singular values

Cesar Cuenca

Motivated by the $(q, I^^{3})$ -cumulants, introduced by Xu [arXiv:2303.13812] to study $I^^{2}$ -deformed singular values of random matrices, we define the $(n, d)$ -rectangular cumulants for…

math.CO2026

Hall-Littlewood-positive harmonic functionals on the algebra of symmetric functions

Cesar Cuenca, Grigori Olshanski

We study the problem of describing the set of real functionals on the quotient $Sym / (p_{2} - 1)$ of the ring of symmetric functions that are nonnegative on the images of certa…