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

这次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不同研究人员小组，他们将与来自其他学科的学生和科学家互动，以确定大规模随机图形和结构的紧迫问题。组织者是孟菲斯大学的Robert Kozma和Bela Bollobas，以及来自Eotovs Lorand大学的匈牙利合作伙伴Tamas Vicsek和来自匈牙利科学院研究所的Peter Erdi和Gabor Tusnady。他们的目标是在大型图形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，称为神经渗流。另一种是基于统计物理的，涉及对大范围真实世界网络的经验研究，如小世界和无标度网络。这项合作得益于美国团队在随机图表、渗流理论和神经计算方面的专业知识，并得到匈牙利在大规模图表的生物物理学和统计物理方面的优势的补充。研讨会的结果预计将定义新的随机图，以对复杂的现实世界网络(如大脑、生物和物理内存、计算机系统和通信)进行建模。这一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很强的领域共享研究资源来实现促进科学知识的计划目标。更广泛的影响包括将美国研究生提前介绍给国际研究界的顶尖理论家和数学家。

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.