Logical limit laws for Mallows random permutations

Tobias Muller, Fiona Skerman, Teun W. Verstraaten

A random permutation ${\hat{I}}_n$ of $\{1,\dots ,n\}$ follows the $\DeclareMathOperator{\Mallows}{Mallows}\Mallows(n,q)$ distribution with parameter $q>0$ if $\mathbb{P}({\hat{I}}_n=\ddot{I}€)$ is…