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

美国-波兰关于聚合物和电介质弛豫现象随机模型的研究

• 批准号: 9220285
• 负责人: Wojbor Woyczynski
• 金额: $ 3.36万
• 依托单位: Case Western Reserve University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-02-15 至 1997-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9220285&HistoricalAwards=false
• 关键词: US; Poland; Research; Stochastic; Models

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.

博士之间的这个美国-波兰研究项目。凯斯西储大学随机与混沌过程科学与技术中心以及数学、统计和高分子科学系的 Wojbor A. Woyczynski 和 Robert Simha 以及弗罗茨瓦夫技术大学 H. Steinhaus 科学与技术随机过程中心的 Alexsander E. Weron、K. Weron 和 A. Janicki 教授正在讨论“随机模型” 聚合物和电介质中的弛豫现象。” 研究人员将进行四个研究方向：（1）表面化学系统统计力学的概率方法； (2) 聚合的随机图和统计力学模型； (3) 随机积分理论相关的基础问题； (4) 表面粗糙度（这个话题不断出现在各种科学问题中，从表面化学和液晶理论到对粗糙地形底部的海洋流动的分析）。 该数学和统计学项目通过使波兰和美国的领先专家能够在共同感兴趣和能力强的领域结合互补人才并汇集资源，实现了推进科学知识的计划目标。