History and Introduction to Polygon Models and Polyominoes
DOI10.1007/978-1-4020-9927-4_1zbMath1180.82079OpenAlexW1752865212WikidataQ67578962 ScholiaQ67578962MaRDI QIDQ3651678
Publication date: 11 December 2009
Published in: Polygons, Polyominoes and Polycubes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4020-9927-4_1
Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyominoes (05B50)
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Cites Work
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- Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
- Self-avoiding walk in five or more dimensions. I: The critical behaviour
- Alternating-sign matrices and domino tilings. I
- Green's function for a hierarchical self-avoiding walk in four dimensions
- Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks.
- Critical phenomena and renormalization-group theory
- Planar tilings by polyominoes, polyhexes, and polyiamonds
- Scaling behaviour of two-dimensional polygon models
- Monotonicity of the number of self-avoiding walks
- Critical Behavior of Branched Polymers and the Lee-Yang Edge Singularity
- Scaling function and universal amplitude combinations for self-avoiding polygons
- The statistics of dimers on a lattice
- Scaling prediction for self-avoiding polygons revisited
- Counting Polycubes without the Dimensionality Curse
- THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
- Statistics of lattice animals (polyominoes) and polygons
- Self-avoiding walks on the simple cubic lattice
- Algebraic techniques for enumerating self-avoiding walks on the square lattice
- On two-dimensional percolation
- Uniform q-series asymptotics for staircase polygons
- Dimer problem in statistical mechanics-an exact result
- On the Number of Self-Avoiding Walks. II
- Cell Growth Problems
- On the Number of Self-Avoiding Walks
- The Spherical Model of a Ferromagnet
- Checker Boards and Polyominoes
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