Normal distribution of nonvanishing Betti rows for random flag complexes

Let kk be a row index, and consider a Betti table for which Theorem~ yields nonvanishing Betti numbers in row kk. The kkth row is viewed as a sequence of Betti numbers indexed by the homological degree. Row-normality conjecture. In cases where Theorem~ yields nonvanishing Betti numbers in row kk, the kkth row of the Betti table will be normally distributed, in a manner similar to Corollary~. This conjecture extends the normal asymptotic behavior established in the cited corollary to every row covered by the nonvanishing theorem; the supplied text gives no resolution status.

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Primary source

Daniel Erman and Jay Yang, “Random Flag Complexes and Asymptotic Syzygies”, arXiv:1706.01488 (2019).

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