2 citations · 3 across the 6 of their papers we have counts for
6 papers
Periodic Points of Consecutive-Pattern-Avoiding Stack-Sorting Maps
Ilaria Seidel, Nathan Sun
West's stack-sorting map involves a stack which avoids the permutation consecutively. Defant and Zheng extended this to a consecutive-pattern-avoiding stack-sorting map …
The Image of the Pop Operator on Various Lattices
Yunseo Choi, Nathan Sun
Extending the classical pop-stack sorting map on the lattice given by the right weak order on , Defant defined, for any lattice , a map that sen…
A Complete Enumeration of Ballot Permutations Avoiding Sets of Small Patterns
Nathan Sun
Permutations whose prefixes contain at least as many ascents as descents are called ballot permutations. Lin, Wang, and Zhao have previously enumerated ballot permutations avoiding…
On -permutations and Pattern Avoidance Classes
Nathan Sun
Multidimensional permutations, or -permutations, are represented by their diagrams on such that there exists exactly one point per hyperplane that satisfies $x_i=…
A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer
Maxim Derevyagin, Anastasiia Minenkova, Nathan Sun
In this paper we recast the Serret theorem about a characterization of palindromic continued fractions in the context of polynomial continued fractions. Then, using the relation be…
On Permutation Weights and -Eulerian Polynomials
Aman Agrawal, Caroline Choi, Nathan Sun
Weights of permutations were originally introduced by Dugan, Glennon, Gunnells, and Steingrímsson (Journal of Combinatorial Theory, Series A 164:24-49, 2019) in their study of the…