Arctic curves of the \(T\)-system with slanted initial data

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Cluster algebras (13F60)

Cites Work

Domino statistics of the two-periodic Aztec diamond
Arctic curves of the six-vertex model on generic domains: the tangent method
\(T\)-systems, networks and dimers
Higher pentagram maps, weighted directed networks, and cluster dynamics
\(T\)-systems and the pentagram map
Asymptotics of multivariate sequences. III: Quadratic points
Perfect matchings and the octahedron recurrence
The arctic curve of the domain-wall six-vertex model
\(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property
Local statistics for random domino tilings of the Aztec diamond
Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. I: Type \(B_r\)
Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. II: Types \(C_r, F_4\), and \(G_2\)
T-systems with boundaries from network solutions
Arctic curves of the twenty-vertex model with domain wall boundaries
The Arctic curve for Aztec rectangles with defects via the tangent method
Perfect matchings for the three-term Gale-Robinson sequences
Positivity of the \(T\)-system cluster algebra
Limit shapes and the complex Burgers equation
Dimers and amoebae
FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS II: APPLICATIONS
Analytic Combinatorics in Several Variables
Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions
Periodicities of T-systems and Y-systems
Arctic curves in path models from the tangent method
Asymptotics of Multivariate Sequences II: Multiple Points of the Singular Variety
Arctic curves for paths with arbitrary starting points: a tangent method approach
A tangent method derivation of the arctic curve for q-weighted paths with arbitrary starting points
Double tangent method for two-periodic Aztec diamonds
Dimer problem in statistical mechanics-an exact result
Arctic curves of the octahedron equation
Periodicities in cluster algebras and dilogarithm identities
Tangent method for the arctic curve arising from freezing boundaries
Arctic curves of the reflecting boundary six vertex and of the twenty vertex models
Arctic curves of the 20V model on a triangle
Biased \(2 \times 2\) periodic Aztec diamond and an elliptic curve
On the domino shuffle and matrix refactorizations

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