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Large deviation principles for abelian monoids
Daniel Keliher, Sun Woo Park · 2025-06-20 · via math.PR updates on arXiv.org

Following work of Mehrdad and Zhu and of Liu, we prove a large deviation principle for a broad class of integer-valued additive functions defined over abelian monoids. As a corollary, we obtain a large deviation principle for a generalized form of the Erdős-Kac theorem due to Liu.

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