Asymptotics of the extremal excedance set statistic

We also consider two applications of our main result. One, we determine asymptotics on the number of permutations π∈Sn which simultaneously avoid the vincular patterns 21-34 and 34-21, i.e., for which π is order-isomorphic to neither (2, 1, 3, 4) nor (3, 4, 2, 1) on any coordinates 1≤i