Combinatorial approaches to problems in lattice statistical mechanics

点击翻译按钮获取中文摘要

Many of the combinatorial objects found at the interface between enumerative combinatorics and other fields, such as statistical physics, computer science and theoretical chemistry, are types of lattice animals. Lattice animals appear in models of polymers and vesicles, percolation models of phenomena such as forest fires, DNA denaturation and the Ising and Potts models of magnets. Perhaps the most famous and versatile example is the self-avoiding walk, which was introduced by Orr over 50 years ago as a model of the geometric properties of long chain polymers.