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math-ph2020★ 2 cited
-Painlevé equations on cluster Poisson varieties via toric geometry
Yuma Mizuno
We provide a relation between the geometric framework for -Painlevé equations and cluster Poisson varieties by using toric models of rational surfaces associated with -Painle…
math.RA2020
Difference equations arising from cluster algebras
Yuma Mizuno
We characterize Y/T-system type difference equations arising from cluster algebras by triples of matrices, which we call T-data, that have a certain symplectic property. We show th…