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math-ph2021
Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel
Thomas Bothner, Mattia Cafasso, Sofia Tarricone
We rigorously compute the integrable system for the limiting distribution function of the extreme momentum of noninteracting fermions when confined to an…
math-ph2020
A fully noncommutative Painlevé II hierarchy: Lax pair and solutions related to Fredholm determinants
Sofia Tarricone
We consider Fredholm determinants of matrix convolution operators associated to matrix versions of the th Airy functions. Using the theory of integrable operators, we relate…