Mathematical Sciences: Presidential Young Investigator

这个总统青年研究员奖将支持一个 广泛的，多年的数学物理研究计划。 Imbrie教授的研究兴趣包括无序系统， 场论和统计力学 特殊贡献 他的一个重要贡献是将概率方法和思想应用于 物理问题。 在以前关于《公约》的工作的基础上， 伊辛模型与随机磁场，他将继续 研究随机系统中的相变。 他还 致力于规范理论的重整化群方法， 计划进一步发展这些方法， 概率论，如自避免随机游走。

This Presidential Young Investigator award will support a broad, multiyear program of research in mathematical physics. Professor Imbrie's research interests include disordered systems, field theory, and statistical mechanics. A special contribution of his is the application of probabilistic methods and ideas to problems in physics. Building on previous work concerning the Ising model with random magnetic field, he will continue to investigate phase transitions in random systems. He has also worked on renormalization group methods for gauge theories, and plans to develop these methods further for problems in probability theory such as self-avoiding random walks.