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math-ph2020★ 12 cited
Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
We prove that the isomonodromic tau function on a torus with Fuchsian singularities and generic monodromies in can be written in terms of a Fredholm determinant…
math-ph2020★ 4 cited
Fredholm determinant representation of the Painlevé II -function
Harini Desiraju
We formulate the generic -function of the Painlevé II equation as a Fredholm determinant of an integrable (Its-Izergin-Korepin-Slavnov) operator. The -function depends on the…