Concavity analysis of the tangent method
From MaRDI portal
Publication:5149662
DOI10.1088/1742-5468/ab43d6zbMath1457.82097arXiv1905.11277OpenAlexW3101855254MaRDI QIDQ5149662
Etienne Granet, Bryan Debin, Philippe Ruelle
Publication date: 12 February 2021
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.11277
Exactly solvable models; Bethe ansatz (82B23) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Combinatorial aspects of tessellation and tiling problems (05B45)
Related Items
Exact time evolution formulae in the XXZ spin chain with domain wall initial state ⋮ Arctic curves of the 6V model with partial DWBC and double Aztec rectangles ⋮ Double tangent method for two-periodic Aztec diamonds ⋮ Arctic curves of the four-vertex model ⋮ Arctic boundaries of the ice model on three-bundle domains ⋮ Arctic curves of the twenty-vertex model with domain wall boundaries ⋮ Factorization in the multirefined tangent method ⋮ Tangent method for the arctic curve arising from freezing boundaries
Cites Work
- Arctic curves of the six-vertex model on generic domains: the tangent method
- Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
- The arctic curve of the domain-wall six-vertex model
- The shape of a typical boxed plane partition
- GUE corners limit of \(q\)-distributed lozenge tilings
- Arctic curve of the free-fermion six-vertex model in an L-shaped domain
- Local statistics for random domino tilings of the Aztec diamond
- The Arctic curve for Aztec rectangles with defects via the tangent method
- Coupling functions for domino tilings of Aztec diamonds
- Limit shapes and the complex Burgers equation
- Dimers and amoebae
- The Limit Shape of Large Alternating Sign Matrices
- The arctic curve of the domain wall six-vertex model in its antiferroelectric regime
- Asymptotic geometry of discrete interlaced patterns: Part I
- Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions
- Arctic curves in path models from the tangent method
- 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