Erdős-Ko-Rado for random hypergraphs: asymptotics and stability

Marcelo M. Gauy, Hiêp Hàn, Igor C. Oliveira

We investigate the asymptotic version of the Erdős-Ko-Rado theorem for the random $k$-uniform hypergraph ${\mathcal{H}}^k(n,p)$. For $2\le k(n)\le n/2$, let $N=\left(\genfrac{}{}{0ex}{}{n}{k}\right)$ and $D…