19 citations · 27 across the 5 of their papers we have counts for
7 papers
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.
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.
Commutativity in Lagrangian and Hamiltonian Mechanics
Ananth Sridhar, Yuri B. Suris
The main result of this note is a characterization of the Poisson commutativity of Hamilton functions in terms of their principal action functions.
Abelian Higgs Vortices and Discrete Conformal Maps
Alexander I. Bobenko, Ananth Sridhar
We establish a connection between recent developments in the study of vortices in the abelian Higgs models, and in the theory of structure-preserving discrete conformal maps. We ex…
Limit Shapes of the Stochastic Six Vertex Model
Nicolai Reshetikhin, Ananth Sridhar
We show that limit shapes for the stochastic 6-vertex model on a cylinder with the uniform boundary state on one end are solutions to the Burger type equation. Solutions to these e…
Integrability of Limit Shapes of the Six Vertex Model
Nicolai Reshetikhin, Ananth Sridhar
The main result of this paper is the construction of infinitely many conserved quantities (corresponding to commuting transfer-matrices) for the limit shape equation for the 6-vert…
Asymptotic Determinant of Discrete Laplace-Beltrami Operators
Ananth Sridhar
We study combinatorial Laplacians on rectangular subgraphs of that approximate Laplace-Beltrami operators of Riemannian metrics as . These lapla…