15 citations · 69 across the 13 of their papers we have counts for
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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…
Solution of tetrahedron equation and cluster algebras
Pavlo Gavrylenko, Mykola Semenyakin, Yegor Zenkevich
We notice a remarkable connection between Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transfo…
Irregular conformal blocks, Painlevé III and the blow-up equations
Pavlo Gavrylenko, Andrei Marshakov, Artem Stoyan
We study the relation of irregular conformal blocks with the Painlevé III equation. The functional representation for the quasiclassical irregular block is shown to be consiste…