US-UK Cooperative Research: Diffusions on Fractals

该奖项将支持华盛顿大学的理查德·巴斯博士和剑桥大学统计实验室的马丁·巴洛博士在数学方面的合作研究。英国教授Bass和Barlow提议研究分形扩散领域的几个问题。问题包括：在大于2维的欧几里得空间内嵌入的分形上构造布朗运动，嵌套分形上布朗运动的唯一性，以及在Sierpinski地毯上布朗运动的Dirichlet形式的识别。Drs。Bass和Barlow都被认为是这一研究领域的领导者。该项目将大大受益于他们的共同专业知识和过去富有成效的合作历史。

This award will support collaborative research in mathematics between Dr. Richard Bass, University of Washington, and Dr. Martin Barlow, Statistical Laboratory, University of Cambridge, U.K. Professors Bass and Barlow propose to work on several problems in the area of diffusions on fractals. Problems include the construction of Brownian motion on fractals imbedded in Euclidean space with dimension greater than 2, the uniqueness of Brownian motion on nested fractals, and the identification of the Dirichlet form for Brownian motion on the Sierpinski carpet. Drs. Bass and Barlow are both considered to be leaders in this area of research. The project will greatly benefit from their joint expertise and past history of fruitful collaboration.