Johannes Heiny

Joint extremes of inversions and descents of random permutations

2023 · arXiv (Cornell University)

We provide asymptotic theory for the joint distribution of $X_{\mathrm{inv}}$ and $X_{\mathrm{des}}$, the numbers of inversions and descents of random permutations. Recently, Dörr & Kahle (2022) proved that $X_{\mathrm{inv}}$, respectively, $X_{\mathrm{des}}$ is in the maximum …