30 citations · 55 across the 9 of their papers we have counts for
6 papers · 1 filter
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.
Poisson sigma model and semiclassical quantization of integrable systems
Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
In this paper we outline the construction of semiclassical eigenfunctions of integrable models in terms of the semiclassical path integral for the Poisson sigma model with the targ…
Semiclassical geometry of integrable systems
Nicolai Reshetikhin
The main result of this paper is a formula for the scalar product of semiclassical eigenvectors of two integrable systems on the same symplectic manifold. An important application…
Lectures on the integrability of the 6-vertex model
N. Reshetikhin
This is an overview of various aspects of the 6-vertex model in statistical mechanics and related models.
The 6-vertex model with fixed boundary conditions
K. Palamarchuk, N. Reshetikhin
We study the 6-vertex model with fixed boundary conditions. In the thermodynamical limit there is a formation of the limit shape. We collect most of the known results about the ana…
Asymptotic shapes with free boundaries
P Di Francesco, N. Reshetikhin
We study limit shapes for dimer models on domains of the hexagonal lattice with free boundary conditions. This is equivalent to the large deviation phenomenon for a random stepped…