U.S. - Hungarian Mathematics Workshop on Large-Scale Random Graph Methods for Modeling Mesoscopic Behavior in Biological and Physical Systems

美国-匈牙利数学研讨会：用于模拟生物和物理系统介观行为的大规模随机图方法

• 批准号: 0456419
• 负责人: Robert Kozma
• 金额: --
• 依托单位: University of Memphis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-01 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0456419&HistoricalAwards=false
• 关键词: U.S.; Hungarian; Mathematics; Workshop; Large

This workshop will bring together a diverse group of researchers from the United States and Hungary with expertise in probabilistic combinatorics who will interact with students and scientists from other disciplines to identify pressing problems of large-scale random graphs and structures. The organizers are Robert Kozma and Bela Bollobas of the University of Memphis with Hungarian partners Tamas Vicsek of Eotovs Lorand University and Peter Erdi and Gabor Tusnady, from Institutes of the Hungarian Academy of Science. Their goal is to establish a link between two major areas of large-scale graph models. One is fundamental graph theory inspired by neurobiology called neuropercolation. The other is based on statistical physics and involves empirical studies of large-scale real-world networks such as small worlds and scale-free networks. The collaboration benefits from the expertise of the U.S. group in random graphs, percolation theory, and neurocomputing, and is complemented by Hungarian strengths in biophysics and statistical physics of large-scale graphs. Workshop results are expected to define new random graphs to model complex real-world networks such as brains, biological and physical memories, computer systems, and communications. This interdisciplinary workshop fulfills the program objective of advancing scientific knowledge by enabling experts in the United States and Central Europe to combine complementary talents and share research resources in areas of strong mutual interest and competence. Broader impacts include early career introduction of U.S. graduate students to leading theorists and mathematicians in the international research community.

该研讨会将汇集来自美国和匈牙利的具有概率组合学专业知识的多元化研究人员，他们将与其他学科的学生和科学家互动，以确定大规模随机图和结构的紧迫问题。组织者是孟菲斯大学的 Robert Kozma 和 Bela Bollobas，以及匈牙利合作伙伴 Eotovs Lorand 大学的 Tamas Vicsek 以及来自匈牙利科学院研究所的 Peter Erdi 和 Gabor Tusnady。 他们的目标是在大规模图模型的两个主要领域之间建立联系。 一种是受神经生物学启发的基本图论，称为神经渗滤。 另一种基于统计物理学，涉及大规模现实世界网络（例如小世界和无标度网络）的实证研究。此次合作受益于美国团队在随机图、渗流理论和神经计算方面的专业知识，并得到了匈牙利在生物物理学和大规模图统计物理学方面的优势的补充。 研讨会的结果预计将定义新的随机图来模拟复杂的现实世界网络，例如大脑、生物和物理记忆、计算机系统和通信。 这个跨学科研讨会通过使美国和中欧的专家能够结合互补的人才并在共同感兴趣和能力强的领域共享研究资源来实现推进科学知识的计划目标。 更广泛的影响包括在职业生涯早期将美国研究生介绍给国际研究界的领先理论家和数学家。