13 citations · 29 across the 17 of their papers we have counts for
25 papers
Minimal transitive factorizations supported on quasi-threshold graphs
Cordelia Yuqiao Li, Ricky Ini Liu
We study the number of minimal transitive factorizations of the identity permutation in into transpositions supported on a quasi-threshold graph. We show that this number is…
Plane partitions and rowmotion on rectangular and trapezoidal posets
Joseph Johnson, Ricky Ini Liu
We define a birational map between labelings of a rectangular poset and its associated trapezoidal poset. This map tropicalizes to a bijection between the plane partitions of these…
Piecewise-linear promotion and RSK in rectangles and moon polyominoes
Joseph Johnson, Ricky Ini Liu
We study piecewise-linear and birational lifts of Schützenberger promotion, evacuation, and the RSK correspondence defined in terms of toggles. Using this perspective, we prove tha…
Birational Rowmotion and the Octahedron Recurrence
Joseph Johnson, Ricky Ini Liu
We use the octahedron recurrence to give a simplified statement and proof of a formula for iterated birational rowmotion on a product of two chains, first described by Musiker and…
Determinantal Formulas for SEM Expansions of Schubert Polynomials
Hassan Hatam, Joseph Johnson, Ricky Ini Liu +1
We show that for any permutation that avoids a certain set of 13 patterns of lengths 5 and 6, the Schubert polynomial can be expressed as the determinant of a m…
Up- and Down-Operators on Young's Lattice
Ricky Ini Liu, Christian Smith
The up-operators and down-operators (introduced as Schur operators by Fomin) act on partitions by adding/removing a box to/from the th column if possible. It is well…