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20182021
most citedIntegrability of Limit Shapes of the Inhomogeneous Six Vertex Model

1 citations · 2 across the 2 of their papers we have counts for

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math.CO2020

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…

math.CO2020

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…

math-ph2020★ 1 cited

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.