U.S.-Germany Cooperative Research in Probability and Mathematical Statistics

该奖项支持萨克拉门托加州州立大学的Doraiswamy Ramachandran教授与德国弗赖堡大学数学随机研究所的Ludger Rueschendorf教授合作进行数学研究。他们将共同追求完美概率和对偶之间的联系，在边际不等式约束下发展新的对偶理论，并推导出新理论的随机和经济应用。他们在这一领域的联合研究将受益于Ramachandran博士在完美概率空间方面的专业知识和Rueschendorf博士在随机优化方面的互补专业知识。 这项研究的重点是测量理论和概率的一些非常基本的方面，同时持有各种实际应用的可能性，如数学经济学，大众运输和更多的理论领域，如对偶理论。 尽管其他人在该领域的工作历史悠久且富有成果，但这两位合作者的专业知识和业绩记录的理想互补性表明，他们的共同努力可能会产生重要的新见解。

This award supports Professor Doraiswamy Ramachandran of California State University at Sacramento to collaborate in mathematics research with Professor Ludger Rueschendorf of the Institute of Mathematical Stochastics of the University of Freiburg, Germany. Together they will pursue the connections between perfect probabilities and duality, develop new duality theory under marginal inequality constraints and derive stochastic and economic applications of the new theory. Their joint research in this area will benefit from Dr. Ramachandran's expertise in perfect probability spaces and Dr. Rueschendorf's complementary expertise in stochastic optimization. This research focuses on some very fundamental aspects of measure theory and probability, while holding the possibility of a variety of practical applications in fields such as mathematical economics, mass transportation and more theoretical areas such as duality theory. Despite the long and fruitful history of work in this field by others, the ideal complementarity of expertise and the track record of these two collaborators suggests that significant new insights may result from their joint effort.