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math.AC2020
Asymptotic Degree of Random Monomial Ideals
Lily Silverstein, Dane Wilburne, Jay Yang
One of the fundamental invariants connecting algebra and geometry is the degree of an ideal. In this paper we derive the probabilistic behavior of degree with respect to the versat…
math.AC2017
Random numerical semigroups and a simplicial complex of irreducible semigroups
Jesus De Loera, Christopher O'Neill, Dane Wilburne
We examine properties of random numerical semigroups under a probabilistic model inspired by the Erdos-Renyi model for random graphs. We provide a threshold function for cofinitene…