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Cluster Reductions, Mutations, and $q$-Painlevé Equations

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We propose an extension of the Goncharov-Kenyon class of cluster integrable systems by their Hamiltonian reductions. This extension allows us to fill in the gap in cluster construction of the $q$-difference Painlevé equations, showing that all of them ...
Bershtein, Mikhail   +3 more
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