Mathematical Sciences: The Mathematics and Physics of Disordered Materials

首席研究员将继续他的工作， 关于系统的统计行为， 多个自由度。 主要重点将放在系统上 它们是均匀无序的，例如伯努利渗流， 和旋转眼镜 不过，他也会研究一些问题 包括统一的系统。 这些问题将与 严格的方法主要植根于概率论，使 使用重正化群思想和图形（或随机 几何）技术。 主题范围从那些 对一些人来说是纯粹的数学兴趣， 实验结果 此字段位于接口处 数学和物理之间的联系

The principal investigator will continue his work on topics concerning the statistical behavior of systems with infinitely many degrees of freedom. The principal focus will be on systems which are homogeneously disordered such as Bernoulli percolation and spin-glasses. However, he will also study some questions involving uniform systems. These problems will be studied with rigorous methods rooted primarily in probability theory, making use of renormalization group ideas and graphical (or stochastic geometrical) techniques. The subjects range from those which are of purely mathematical interest to some which have experimental ramifications. This field is at the interface between mathematics and physics.