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arXiv · 2506.16970

Large deviation principles for abelian monoids

Daniel Keliher·Sun Woo Park
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Abstract

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 Erd\H{o}s-Kac theorem due to Liu.

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Daniel Keliher, Sun Woo Park. 2025-06-20. Large deviation principles for abelian monoids. https://arxiv.org/abs/2506.16970

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