Growth Rates Of Permutations With Given Descent Or Peak Set

Mohamed Omar, Justin M. Troyka

Given a set $I\subseteq \mathbb{N}$, consider the sequences $\{d_n(I)\},\{p_n(I)\}$ where for any $n$, $d_n(I)$ and $p_n(I)$ respectively count the number of permutations in the s…