Mathematical Sciences: Diffusion Processes and Related Topics

Stroock在扩散过程领域工作。特别是，他正在研究与晶格气体相关的格劳伯动力学。最近，这些研究导致了对数索博列夫不等式的使用，从而将两个不同的数学领域结合在一起。Stroock将继续他在这些领域的研究。Stroock研究随机分析的各个方面及其在其他领域的应用。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，这些系统非常简单，在数学上易于处理，而在物理上又非常复杂，令人着迷。除了物理学之外，这些相同的动力学也出现在其他环境中，作为巨大粒子系统相互作用系统的模型。

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.