2 citations · 2 across the 5 of their papers we have counts for
5 papers
Chute Move Posets are Lattices
Ilani Axelrod-Freed, Colin Defant, Hanna Mularczyk +2
For each permutation , we consider the set of reduced pipe dreams for , partially ordered so that cover relations correspond to (generalized) chute moves. Se…
Oriented matroid structures on rank 3 root systems
Grant Barkley, Katherine Tung
We show that, given a rank 3 affine root system with Weyl group , there is a unique oriented matroid structure on which is -equivariant and restricts to the usual mat…
A bijection between evil-avoiding and rectangular permutations
Katherine Tung
Evil-avoiding permutations, introduced by Kim and Williams in 2022, arise in the study of the inhomogeneous totally asymmetric simple exclusion process. Rectangular permutations, i…
The Sperner property for -avoiding intervals in the weak order
Christian Gaetz, Katherine Tung
A well-known result of Stanley from 1980 implies that the weak order on a maximal parabolic quotient of the symmetric group has the Sperner property; this same property was r…
Formations and generalized Davenport-Schinzel sequences
Jesse Geneson, Peter Tian, Katherine Tung
Let . We investigate the problem of determining the maximum possible integer for which there exist permutations $π_1, π_2, \dots,…