Limits of permutation sequences through permutation regularity

Carlos Hoppen, Yoshiharu Kohayakawa, Carlos Gustavo Tamm de Araújo Moreira +1

A permutation sequence $({\sigma }_n{)}_{n\in \mathbb{N}}$ is said to be convergent if, for every fixed permutation $\tau$, the density of occurrences of $\tau$ in the elements of the sequence co…