Annals of Combinatorics 3 (1999) 323-335

Several Constants Arising in Statistical Mechanics

Steven R. Finch

MathSoft Inc., 101 Main Street, Cambridge, MA 02142, USA

Received September 26, 1998

AMS Subject Classification: 05A15, 05A16, 05B50, 11Y60, 82B20, 82B41

Abstract. This is a brief survey of certain constants associated with random lattice models, including self-avoiding walks, polyominoes, the Lenz--Ising model, monomers and dimers, ice models, hard squares and hexagons, and percolation models.

Keywords: random lattice models, self-avoiding walks, polyominoes, Ising model, monomers, dimers, ice models, hard squares, hard hexagons, percolation


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