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nlin.SI2018★ 2 cited
Generators of rank 2 cluster algebras of affine types via linearization of seed mutations
Atsushi Nobe
From the viewpoint of integrable systems on algebraic curves, we discuss linearization of birational maps arising from the seed mutations of types and , whic…
nlin.SI2018
Birational maps conjugate to the rank 2 cluster mutations of affine types and their geometry
Atsushi Nobe
Mutations of the cluster variables generating the cluster algebra of type reduce to a two-dimensional discrete integrable system given by a quartic birational map. The…