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math-ph2022★ 3 cited
Integrable equations associated with the finite-temperature deformation of the discrete Bessel point process
Mattia Cafasso, Giulio Ruzza
We study the finite-temperature deformation of the discrete Bessel point process. We show that its largest particle distribution satisfies a reduction of the 2D Toda equation, as w…
math-ph2022★ 3 cited
Quantum KdV hierarchy and quasimodular forms
Jan-Willem M. van Ittersum, Giulio Ruzza
Dubrovin has shown that the spectrum of the quantization (with respect to the first Poisson structure) of the dispersionless Korteweg-de Vries (KdV) hierarchy is given by shifted s…