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math-ph2023
On the integrable structure of deformed sine kernel determinants
Tom Claeys, Sofia Tarricone
We study a family of Fredholm determinants associated to deformations of the sine kernel, parametrized by a weight function w. For a specific choice of w, this kernel describes bul…
math-ph2023★ 5 cited
Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
Tom Claeys, Gabriel Glesner, Giulio Ruzza +1
We study Jánossy densities of a randomly thinned Airy kernel determinantal point process. We prove that they can be expressed in terms of solutions to the Stark and cylindrical Kor…