On the area of square lattice polygons.

DOI10.1007/BF01112757zbMath1086.82502OpenAlexW2076304841WikidataQ67576670 ScholiaQ67576670MaRDI QIDQ1963753

Anthony J. Guttmann, Ian G. Enting

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01112757

zbMATH Keywords

Square lattice polygons

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items (4)

Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in \({\mathbb{Z}}^d \): a sharp scaling law ⋮ Exactly Solved Models ⋮ Mean area of self-avoiding loops ⋮ Synergistic development of differential approximants and the finite lattice method in lattice statistics

Cites Work

• The number of convex polyominoes with given perimeter
• Algebraic languages and polyominoes enumeration
• Convex n-ominoes
• Asymptotic bounds for the number of convex \(n\)-ominoes
• Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules
• On the number of certain lattice polygons

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