1 citations · 1 across the 1 of their papers we have counts for
5 papers
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…
Integrability of Limit Shapes of the Inhomogeneous Six Vertex Model
David Keating, Nicolai Reshetikhin, Ananth Sridhar
In this paper we prove that the Euler-Lagrange equations for the limit shape for the inhomogeneous six vertex model on a cylinder have infinitely many conserved quantities.
Arctic curves phenomena for bounded lecture hall Tableaux
Sylvie Corteel, David Keating, Matthew Nicoletti
Recently the first author and Jang Soo Kim introduced lecture hall tableaux in their study of multivariate little q-Jacobi polynomials. They then enumerated bounded lecture hall ta…
Random Tilings with the GPU
David Keating, Ananth Sridhar
We present GPU accelerated implementations of Markov chain algorithms to sample random tilings, dimers, and the six-vertex model.