Six Permutation Patterns Force Quasirandomness

Gabriel Crudele, Peter Dukes, Jonathan A. Noel

A sequence ${\pi }_1,{\pi }_2,\dots$ of permutations is said to be "quasirandom" if the induced density of every permutation $\sigma$ in ${\pi }_n$ converges to $1/|\sigma |!$ as $n\to \infty$. We prove that…