The bead model and limit behaviors of dimer models
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Publication:1011153
DOI10.1214/08-AOP398zbMath1171.82006arXivmath/0607162MaRDI QIDQ1011153
Publication date: 8 April 2009
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607162
Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
- Coincidence probabilities
- Planar dimers and Harnack curves
- Binomial determinants, paths, and hook length formulae
- An introduction to the theory of point processes
- Local statistics of lattice dimers
- The Laplacian and Dirac operators on critical planar graphs
- Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope
- Non-intersecting paths, random tilings and random matrices
- Pattern densities in non-frozen planar dimer models
- The arctic circle boundary and the Airy process
- Dimers and amoebae
- Determinantal random point fields
- Current fluctuations for the totally asymmetric simple exclusion process
- GUEs and queues
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