Hypergraphs with minimum positive uniform Turán density

Frederik Garbe, Daniel Kral, Ander Lamaison

Reiher, Rödl and Schacht [J. London Math. Soc. 97 (2018), 77--97] showed that the uniform Turán density of every $3$-uniform hypergraph is either $0$ or at least $1/27$, and asked…