Deformations of cluster maps of type A_{2N} are built via local quiver expansion, lifting prior A_2 and A_4 cases to an infinite sequence with Laurent property and checked integrality for small N.
Cluster algebras
3 Pith papers cite this work. Polarity classification is still indexing.
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For cluster-algebra mutation maps μp,q with pq>4 the dynamical degree exceeds 1, ruling out conserved quantities and producing positive-entropy invariant measures.
A survey of results linking frieze patterns to polygon triangulations, Grassmannian cluster algebras, and Grassmannian cluster categories, with focus on recent links to cluster categories.
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Deformed cluster maps of type $A_{2N}$
Deformations of cluster maps of type A_{2N} are built via local quiver expansion, lifting prior A_2 and A_4 cases to an infinite sequence with Laurent property and checked integrality for small N.
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Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations
For cluster-algebra mutation maps μp,q with pq>4 the dynamical degree exceeds 1, ruling out conserved quantities and producing positive-entropy invariant measures.
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Frieze patterns in representation theory
A survey of results linking frieze patterns to polygon triangulations, Grassmannian cluster algebras, and Grassmannian cluster categories, with focus on recent links to cluster categories.