Double tangent method for two-periodic Aztec diamonds

DOI10.1088/1742-5468/aca4c4OpenAlexW4311973319MaRDI QIDQ5059123

Philippe Ruelle

Publication date: 23 December 2022

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.12831

zbMATH Keywords

domino tilingsAztec diamondstangent methodoctahedron recurrencearctic curves

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items

On λ-determinants and tiling problems

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
• Applications of graphical condensation for enumerating matchings and tilings
• Alternating-sign matrices and domino tilings. II
• Perfect matchings and the octahedron recurrence
• The arctic curve of the domain-wall six-vertex model
• Binomial determinants, paths, and hook length formulae
• Alternating-sign matrices and domino tilings. I
• The shape of a typical boxed plane partition
• Arctic curve of the free-fermion six-vertex model in an L-shaped domain
• A simple proof of the Aztec diamond theorem
• Non-intersecting paths, random tilings and random matrices
• Arctic boundaries of the ice model on three-bundle domains
• Arctic curves of the twenty-vertex model with domain wall boundaries
• The two-periodic Aztec diamond and matrix valued orthogonal polynomials
• Limit shapes for the asymmetric five vertex model
• Domino tilings of the aztec diamond with doubly periodic weightings
• Coupling functions for domino tilings of Aztec diamonds
• Analytic Combinatorics in Several Variables
• The arctic curve of the domain wall six-vertex model in its antiferroelectric regime
• Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions
• Arctic curves in path models from the tangent method
• Lectures on Random Lozenge Tilings
• A tangent method derivation of the arctic curve for q-weighted paths with arbitrary starting points
• Arctic curves of the 6V model with partial DWBC and double Aztec rectangles
• Concavity analysis of the tangent method
• Factorization in the multirefined tangent method
• Arctic curves of the octahedron equation
• On the Vector Representations of Induced Matroids
• Tangent method for the arctic curve arising from freezing boundaries
• Dimer-dimer correlations at the rough-smooth boundary