Solvable models on regular and random lattices in statistical mechanics and field theory

统计力学和场论中规则格和随机格的可解模型。在统计力学和场论中，只有少数可解的模型，但那些已知的模型对具有临界点特征的合作行为提供了深刻的见解，并导致了迷人的数学。这两位首席研究员多年来一直走在这一领域的前沿。目前有许多值得注意的令人兴奋的挑战，他们希望解决：Tutte关于二色多项式和矩阵模型之间的关系，计算手性波茨模型的阶参数的突出问题，以及在可积模型中发生的传递矩阵的特征值谱。\ r \ n

Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as\r\nleading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:\r\nthe relationship between Tutte's work on dichromatic polynomials and matrix models, the outstanding problem of calculating the order parameters of the chiral Potts model, and the eigenvalue spectra of the transfer matrices that occur in integrable models. \r\n