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We study statistical properties of numerical semigroups of genus g as g goes to infinity.More specifically, we answer a question of Delgado and Eliahou by showing that as g goes to infinity, the proportion of numerical semigroups of genus g with embedding dimension close to g/ 5 approaches 1.We prove similar results for the type and weight of a numerical semigroup of genus g.
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Kaplan et al. (2023) studied this question.
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