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math.NT2026
Arithmetic growth in partially commutative semigroups of endomorphisms
Wade Hindes
We establish asymptotics for the degree and height growth rate functions of partially commutative semigroups of endomorphisms of varieties, i.e., semigroups where the only relation…
math.NT2026
Free semigroups of power series
Wade Hindes
Given power series over a field , we show that the semigroup generated by the 's under composition is free of rank…