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math.PR2026
The Rectangular Finite Free Heat Flow
Cesar Cuenca, Colin McSwiggen
We define and study the rectangular finite free heat flow, a dynamical system on polynomials that plays the role of the heat equation in the setting of rectangular finite free prob…
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 of the ring of symmetric functions that are nonnegative on the images of certa…