21 citations · 21 across the 1 of their papers we have counts for
3 papers
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-ph2019★ 21 cited
A Riemann-Hilbert approach to the lower tail of the KPZ equation
Mattia Cafasso, Tom Claeys
Fredholm determinants associated to deformations of the Airy kernel are closely connected to the solution to the Kardar-Parisi-Zhang (KPZ) equation with narrow wedge initial data,…
math-ph2019
Fredholm determinant solutions of the Painlevé II hierarchy and gap probabilities of determinantal point processes
Mattia Cafasso, Tom Claeys, Manuela Girotti
We study Fredholm determinants of a class of integral operators, whose kernels can be expressed as double contour integrals of a special type. Such Fredholm determinants appear in…