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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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math-ph2024★ 1 cited

Quantum KdV hierarchy and shifted symmetric functions

Jan-Willem van Ittersum, Giulio Ruzza

We study spectral properties of the quantum Korteweg-de Vries hierarchy defined by Buryak and Rossi. We prove that eigenvalues to first order in the dispersion parameter are given…

math-ph2024★ 3 cited

Bessel kernel determinants and integrable equations

Giulio Ruzza

We derive differential equations for multiplicative statistics of the Bessel determinantal point process depending on two parameters. In particular, we prove that such statistics a…