US-UK Cooperative Research: Diffusions on Fractals

该奖项将支持数学领域的合作研究 华盛顿大学的理查德·巴斯博士和 Martin Barlow，剑桥大学统计实验室， 英国 巴斯教授和巴洛教授建议研究几个 在分形扩散领域的问题。 问题 包括分形上布朗运动的构造 嵌入在欧几里得空间中，维数大于 2.嵌套分形上布朗运动的唯一性; 布朗运动Dirichlet型的识别 在谢尔宾斯基地毯上 拜斯医生和巴洛医生 被认为是这一研究领域的领导者。 的 项目将大大受益于他们的联合 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.