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Orbit counting in polarized dynamical systems

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  • We extend recent orbit counts for finitely generated semigroups acting on $ \mathbb{P}^N $ to certain infinitely generated, polarized semigroups acting on projective varieties. We then apply these results to semigroup orbits generated by some infinite sets of unicritical polynomials.

    Mathematics Subject Classification: Primary: 37P15, 37P05; Secondary: 11G50, 11D45.


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