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math-ph2021
The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
Mattia Cafasso, Sofia Tarricone
We prove a Tracy-Widom type formula for the generating function of occupancy numbers on several disjoint intervals of the higher order Airy point processes. The formula is related…
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…