US-Poland Research on Stochastic Models of Relaxation Phenomena in Polymers and Dielectrics

这一美国-波兰研究项目由科学与混沌过程研究中心的Wojbor A.Woyczynski博士和Robert Simha共同完成。凯斯西储大学数学、统计和高分子科学系与弗罗茨瓦夫技术大学H·斯坦豪斯科学与技术随机过程中心的亚历克桑德·E·沃隆、K·沃隆和A·亚尼基教授共同撰写了《聚合物和电介质中弛豫现象的随机模型》一书。研究人员将从事四个方面的研究：(1)表面化学中体系统计力学的概率方法；(2)聚合的随机图和统计力学模型；(3)与随机积分理论有关的基本问题；以及(4)表面粗糙度(从表面化学和液晶理论，到用粗糙地形分析海底洋流，这个话题一直出现在各种各样的科学问题中)。这个数学和统计项目通过使波兰和美国的顶尖专家能够将互补的人才结合在一起，并在相互感兴趣和能力很强的领域汇集资源，从而实现了促进科学知识的计划目标。

This U.S.-Poland Research project between Drs. Wojbor A. Woyczynski and Robert Simha of the Center of Stochastic and Chaotic Processes in Science & Technology and the Departments of Mathematics and Statistics and Macromolecular Science at Case Western Reserve, and Professors Alexsander E. Weron, K. Weron, and A. Janicki of the H. Steinhaus Center for Stochastic Processes in Science & Technology, Wroclaw Technical University, is on "Stochastic Models of Relaxation Phenomena in Polymers and Dielectrics." The researchers will pursue four lines of research: (1) Probabilistic methods in the statistical mechanics of systems occurring in surface chemistry; (2) Random graph and statistical mechanical models of polymerization; (3) Foundational problems related to the theory of stochastic integration; and (4) Roughness of surfaces (a topic which keeps cropping up in a huge variety of scientific problems from surface chemistry and the theory of liquid crystals, to analysis of oceanic flows over bottoms with rough topography). This project in mathematics and statistics fulfills the program objective of advancing scientific knowledge by enabling leading experts in Poland and the United States to combine complementary talents and pool resources in areas of strong mutual interest and competence.