Phase transition in random contingency tables with non-uniform margins

Sam Dittmer, Hanbaek Lyu, Igor Pak

For parameters $n,\delta ,B,$ and $C$, let $X=(X_{k\ell })$ be the random uniform contingency table whose first $\lfloor n^{\delta }\rfloor$ rows and columns have margin $\lfloor BCn\rfloor$ a…