Mathematical Sciences: Continuum and Aperiodic Lattice Models of Statistical Mechanics

Vakilian教授的项目涉及许多问题， 统计力学 一组处理比热， 分层非周期伊辛模型 这个问题的解决方案可以 发现了一种介于 随机和准晶体形式。 其他问题涉及 非周期动力系统的迹映射和一维 非周期薛定谔算子 Vakilian教授的研究领域是 数学物理 在这个研究项目中，校长 研究人员将集中在模型的数学方面 不规则但不完全随机的物质。 这 一种物质最近以准晶形式为代表 在自然界中发现的。

Professor Vakilian's project involves a number of problems in statistical mechanics. One set deals with the specific heat for layered aperiodic Ising models. The solution of this problem could lead to the discovery of a new phase of matter intermediate between random and quasicrystalline forms. Additional problems deal with trace maps of aperiodic dynamical systems and one-dimensional aperiodic Schrodinger operators. The general area of research of Professor Vakilian is mathematical physics. In this research project, the principal investigator will concentrate on the mathematical aspects of models of matter which are not regular but not completely random. This type of matter is typified by the quasicrystalline forms recently found in nature.