Mean Field Limits of Heterogeneous Networks - Informal Systems Seminar

Explore the fascinating world of mean field limits in heterogeneous networks through this 55-minute webinar presented by Chuang Xu from the University of Hawaiʻi at Mānoa. Delve into the concept of interacting particle systems (IPS) and their applications in various scientific phenomena. Discover how the Vlasov Equation describes the mean field limit of large all-to-all coupled deterministic IPS, and learn about the challenges posed by IPS coupled on heterogeneous networks. Examine the influence of digraph sequences on macroscopic mean field limits and gain insights into the novel concept of digraph measures (DGM) as an extension of graphons. Compare recent findings on mean field limits of IPS on graph limits with the presenter's contributions. Investigate practical applications of these theoretical concepts and explore topics such as sequence of graphs, ring structures, circle graphs, and equivalent measures. Gain a comprehensive understanding of this complex subject through a well-structured presentation covering introduction, outline, advantages and disadvantages, new perspectives, and real-world applications.

Introduction
Outline
Advantages and Disadvantages
Sequence of Graphs
New Perspective
Rings
Circle Graph
Digraph measure
Equivalent measure
Resources
Comparison
Applications