19 citations · 22 across the 7 of their papers we have counts for
9 papers
Shuffling algorithm for coupled tilings of the Aztec diamond
David Keating, Matthew Nicoletti
In this article we define a generalization of the domino shuffling algorithm for tilings of the Aztec diamond to the interacting -tilings recently introduced by S. Corteel, A. G…
Colored vertex models and -tilings of the Aztec diamond
Sylvie Corteel, Andrew Gitlin, David Keating
We study -tilings (-tuples of domino tilings) of the Aztec diamond of rank . We assign a weight to each -tiling, depending on the number of dominos of certain types and…
A Vertex Model for Supersymmetric LLT Polynomials
Andrew Gitlin, David Keating
We describe a Yang-Baxter integrable vertex model, which can be realized as a degeneration of a vertex model introduced by Aggarwal, Borodin, and Wheeler. From this vertex model, w…
Equivalences of LLT polynomials via lattice paths
David Keating
The LLT polynomials are a family of symmetric polynomials indexed by a tuple of (possibly skew-)partitions $\mathbfβ/\mathbfγ= (β^{(1)}/γ^{(…
A vertex model for LLT polynomials
Sylvie Corteel, Andrew Gitlin, David Keating +1
We describe a novel Yang-Baxter integrable vertex model. From this vertex model we construct a certain class of partition functions that we show are equal to the LLT polynomials of…
Area Statistics for Large Oscillating Tableaux
David Keating
In this note we show that the area of the partitions making up an oscillating tableaux is described by a random walk on the first quadrant of with certain position d…