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

这个美国-波兰Wojbor A. Woyczynski和Robert Simha，随机中心， 科学技术中的混沌过程与学科 凯斯大学的数学、统计学和高分子科学 Western Reserve和Alexsander E. Weron，K.韦伦 和A.我是H的Janicki施泰因豪斯随机中心 弗罗茨瓦夫技术大学，科学技术过程， 是关于“聚合物中松弛现象的随机模型， 电介质“研究人员将追踪四条线， 研究：（1）统计力学中的概率方法 （2）随机图和 聚合反应的统计力学模型;（3）聚合反应的基础 与随机积分理论有关的问题;（4） 表面粗糙度（一个不断出现在一个巨大的 各种科学问题，从表面化学和 液晶理论，分析海洋流动， 地形粗糙的底部）。 这个数学和统计学项目实现了这个计划。 促进科学知识的目标， 波兰和美国的专家将联合收割机 在共同感兴趣的领域汇集人才和资源， 能力。

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.