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math-ph2023★ 3 cited
Topological recursion, symplectic duality, and generalized fully simple maps
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the -point functions produced by the topol…
math-ph2023★ 1 cited
Matrix models for the nested hypergeometric tau-functions
Alexander Alexandrov
We introduce and investigate a family of tau-functions of the 2D Toda hierarchy, which is a natural generalization of the hypergeometric family associated with Hurwitz numbers. For…