The phase-transition conjecture for the marginal of a random contingency table
Let B,C>0B,C>0B,C>0, let 0<δ<10<\delta<10<δ<1, and let X=(Xij)X=(X_{ij})X=(Xij) be sampled uniformly from Mn,δ(B,C)\mathcal M_{n,\delta}(B,C)Mn,δ(B,C). Let BcB_cBc denote the critical value. Phase-transition conjecture. There…