2 citations · 4 across the 7 of their papers we have counts for
4 papers · 2 filters
RSK tableaux and the weak order on fully commutative permutations
Emily Gunawan, Jianping Pan, Heather M. Russell +1
For each fully commutative permutation, we construct a "boolean core," which is the maximal boolean permutation in its principal order ideal under the right weak order. We partitio…
Box-ball systems and RSK recording tableaux
Marisa Cofie, Olivia Fugikawa, Emily Gunawan +2
A box-ball system (BBS) is a discrete dynamical system consisting of n balls in an infinite strip of boxes. During each BBS move, the balls take turns jumping to the first empty bo…
Superunitary regions of cluster algebras
Emily Gunawan, Greg Muller
This note introduces the superunitary region of a cluster algebra, the subspace of the totally positive region on which each cluster variable is at least 1. Our main result is that…
Runs and RSK tableaux of boolean permutations
Emily Gunawan, Jianping Pan, Heather M. Russell +1
We define and construct the "canonical reduced word" of a boolean permutation, and show that the RSK tableaux for that permutation can be read off directly from this reduced word.…