Several Constants Arising in Statistical Mechanics

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.

Comments: 14 pages, 5 figures, submitted to Annals of Combinatorics special issue on Statistical Mechanics and Combinatorics