Mathematical Sciences: Diffusion Processes and Related Topics

数学科学：扩散过程及相关主题

• 批准号: 8913328
• 负责人: Daniel Stroock
• 金额: --
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-11-01 至 1993-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8913328&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Diffusion; Processes; Related

The principal investigator will continue his research in probability theory and classical analysis. Using and developing techniques in classical analysis (i.e. Dirichlet forms), he intends to obtain more precise approximations to certain transition probability functions. Furthermore, he will continue to simplify and extend known results in the area of large deviations, with an eye to applying these results to the analysis of stochastic processes which arise in Ising-type models of statistical mechanics. In this effort, the principal investigator will collaborate with a postdoctoral associate.

首席研究员将继续他的研究 概率论和经典分析。 运用和发展了 技术在经典分析（即狄利克雷形式），他 旨在获得更精确的近似某些 转移概率函数 此外，他将继续 为了简化和推广大尺度区域内的已知结果， 偏差，着眼于将这些结果应用于分析 伊辛型模型中出现的随机过程， 统计力学 在这方面，校长 研究人员将与博士后合作。