Mathematical Sciences: Diffusion Processes and Related Topics

数学科学：扩散过程及相关主题

• 批准号: 9302709
• 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: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9302709&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Diffusion; Processes; Related

Stroock works in the area of diffusion processes. In particular, he is studying the Glauber dynamics associated with lattice gases. Recently, these studies have led to the use of logarithmic Sobolev inequalities, thus bringing together two different areas of mathematics. Stroock will continue his research in these areas. Stroock works on various aspects of stochastic analysis and its applications to other fields. At present, his major interest is in mathematical models of the statistical mechanics of gases. In particular, he has been studying a class of dynamical systems which are sufficiently simple that they are mathematically tractable and are sufficiently intricate to be physically intriguing. In addition to physics, these same dynamics arise in other contexts as models of interacting systems of huge systems of particles.

Stroock在扩散过程领域工作。 在 特别是，他正在研究与之相关的Glauber动力学， 晶格气体 最近，这些研究已经导致使用 对数Sobolev不等式，从而将两个 不同的数学领域。 Stroock将继续他的 这些领域的研究。 Stroock致力于随机分析的各个方面 应用到其他领域。 目前，他的主要兴趣 是气体统计力学的数学模型。 特别是，他一直在研究一类动力系统 它们足够简单， 易于处理，并且足够复杂， 很有趣 除了物理学，这些同样的动力学也出现在 其他背景作为巨大系统的相互作用系统的模型 的粒子。