Random monomial ideals exhibit sharp phase transitions in LCM-lattice density that separate low-density Taylor-like regimes from high-density redundant ones, with a conjecture that equigenerated squarefree cases undergo transitions analogous to giant components in hypergraphs.
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Asymptotic properties of random monomial ideals
Random monomial ideals exhibit sharp phase transitions in LCM-lattice density that separate low-density Taylor-like regimes from high-density redundant ones, with a conjecture that equigenerated squarefree cases undergo transitions analogous to giant components in hypergraphs.