Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates

DOI10.1007/978-1-4020-9927-4_16zbMath1180.82026OpenAlexW1644004063MaRDI QIDQ3651692

Iwan Jensen, Anthony J. Guttmann

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_16

zbMATH Keywords

self-avoiding walksself-avoiding polygonspolyominoes

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Polyominoes (05B50)

Related Items (1)

Synergistic development of differential approximants and the finite lattice method in lattice statistics

Cites Work

• Enumeration of the self-avoiding polygons on a lattice by the Schwinger-Dyson equations
• On the number of hexagonal polyominoes
• Self-avoiding walks and polygons on the triangular lattice
• Counting d-Dimensional Polycubes and Nonrectangular Planar Polyominoes
• Statistics of lattice animals (polyominoes) and polygons
• Self-avoiding walk enumeration via the lace expansion

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