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box dimension 1discrepancy 1ergodic maps 1low-discrepancy sequences 1orbit closures 1p-adic dynamics 1

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1 paper

math.NT2026

Dimensions of Orbit Closures and Discrepancy for Dynamical -adic Sequences

Keivan Mallahi Karai, Christian Weiß, Christian Weiß

The paper investigates discrepancy of sequences in the p‑adic integers, proving that orbits of ergodic 1‑Lipschitz maps are low‑discrepancy and that orbit closures of polynomial ma…