U.S.-U.K. Cooperative Research: Stochastic Partial Differential Equations Related to Superprocesses

这个为期三年的奖项支持美国罗切斯特大学的Carl E. Mueller和英国华威大学的Roger Tribe在概率论方面的合作研究。他们的研究目的是探讨随机偏微分方程（SPDE）和超过程之间的关系。美国和英国的调查人员在概率论和SPDE方面带来了互补的专业知识。他们将使用超过程工具，如历史过程和拉普拉斯函数，并在更高的维度上研究超临界布朗超过程的行波。该项目将促进我们对随机偏微分方程如何描述自然现象的理解。

This three-year award supports U.S.-U.K. cooperative research in probability theory between Carl E. Mueller of the University of Rochester and Roger Tribe of the University of Warwick in the United Kingdom. The objective of their research is to investigate the relationship between stochastic partial differential equations (SPDE) and superprocesses. The U.S. and U.K. investigators bring complementary expertise in probability theory and SPDE. They will use superprocesses tools, such as the historical process and the Laplace function, and study traveling waves for supercritical Brownian superprocesses in higher dimensions. The project will advance our understanding of how stochastic partial differential equations describe natural phenomena.