The edge-statistics conjecture for hypergraphs

Vishesh Jain, Matthew Kwan, Dhruv Mubayi +1

Let $r,k,\ell$ be integers such that $0\le \ell \le \left(\genfrac{}{}{0ex}{}{k}{r}\right)$. Given a large $r$-uniform hypergraph $G$, we consider the fraction of $k$-vertex subsets which span exactly $\ell$ e…