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.
Indiana Univ
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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.