Justin M. Troyka

collaborators

2 papers

math.CO2025

Growth Rates Of Permutations With Given Descent Or Peak Set

Mohamed Omar, Justin M. Troyka

Given a set $I \subseteq N$ , 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…

math.CO2025

Enumeration of pattern-avoiding alternating sign matrices: An asymptotic dichotomy

Mathilde Bouvel, Eric S. Egge, Rebecca N. Smith +2

We completely classify the asymptotic behavior of the number of alternating sign matrices classically avoiding a single permutation pattern, in the sense of [Johansson and Linusson…