Giulio Ruzza

activity

20172026

most citedAiry kernel determinant solutions to the KdV equation and integro-differential Painlevé equations

26 citations · 107 across the 18 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math-ph2023★ 1 cited

Jacobi Beta Ensemble and $b$ -Hurwitz Numbers

Giulio Ruzza

We express correlators of the Jacobi $β$ ensemble in terms of (a special case of) $b$ -Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Dolega. Th…

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…

Jacobi Beta Ensemble and b-Hurwitz Numbers

Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations

Jacobi Beta Ensemble and $b$ -Hurwitz Numbers