Matrix Model Combinatorics: Applications to Folding and Coloring
数学物理
2007-05-23 v1 统计力学
高能物理 - 理论
组合数学
math.MP
摘要
We present a detailed study of the combinatorial interpretation of matrix integrals, including the examples of tessellations of arbitrary genera, and loop models on random surfaces. After reviewing their methods of solution, we apply these to the study of various folding problems arising from physics, including: the meander (or polymer folding) problem ``enumeration of all topologically inequivalent closed non-intersecting plane curves intersecting a line through a given number of points" and a fluid membrane folding problem reformulated as that of ``enumerating all vertex-tricolored triangulations of arbitrary genus, with given numbers of vertices of either color".
引用
@article{arxiv.math-ph/9911002,
title = {Matrix Model Combinatorics: Applications to Folding and Coloring},
author = {P. Di Francesco},
journal= {arXiv preprint arXiv:math-ph/9911002},
year = {2007}
}
备注
69 pp, 24 figs, uses harvmac and epsf