Asymptotics of pure dimer coverings on rail yard graphs
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Publication:6052078
DOI10.1017/fms.2023.90zbMath1529.82009arXiv2110.11393OpenAlexW4387507262MaRDI QIDQ6052078
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Publication date: 23 October 2023
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.11393
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Laplace transform (44A10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Cites Work
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- Dimers on rail yard graphs
- Alternating-sign matrices and domino tilings. II
- Non-commutative Donaldson-Thomas invariants and the conifold
- Generating functions for colored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds
- Computing a pyramid partition generating function with dimer shuffling
- Alternating-sign matrices and domino tilings. I
- Local statistics of lattice dimers
- Asymptotics of random domino tilings of rectangular Aztec diamonds
- Interlacing adjacent levels of \(\beta\)-Jacobi corners processes
- KPZ and Airy limits of Hall-Littlewood random plane partitions
- Critical temperature of periodic Ising models
- Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices
- Asymptotics of Schur functions on almost staircase partitions
- Global universality of Macdonald plane partitions
- Conformal invariance of dimer heights on isoradial double graphs
- Macdonald processes
- Limit shapes and the complex Burgers equation
- The arctic circle boundary and the Airy process
- Dimers and amoebae
- Gaussian free fields for mathematicians
- A variational principle for domino tilings
- Observables of Macdonald processes
- The statistics of dimers on a lattice
- Lectures on Dimers
- Schur Function at General Points and Limit Shape of Perfect Matchings on Contracting Square Hexagon Lattices with Piecewise Boundary Conditions
- Limit Shape of Perfect Matchings on Contracting Bipartite Graphs
- Dimer problem in statistical mechanics-an exact result
- From Aztec diamonds to pyramids: Steep tilings
- Perfect sampling algorithm for Schur processes
- Random tilings and Markov chains for interlacing particles
- Infinite wedge and random partitions
- Limit Shape of Perfect Matchings on Rail-Yard Graphs
