Topology Shapes Dynamics of Higher-order Networks

Explore the fascinating world of higher-order networks and their impact on non-linear dynamical processes in this 56-minute lecture by Ginestra Bianconi from Queen Mary University of London. Delve into the study of brain networks and discover how higher-order interactions lead to new phenomena not observable in pairwise networks. Learn about innovative concepts such as the Topological Kuramoto model and Topological global synchronization, which use non-linear dynamical processes to uncover network topology. Investigate the synchronization of topological signals across various dimensions in simplicial complexes. Examine the role of the Dirac operator in coupling and processing topological signals of different dimensions through Dirac signal processing. Explore the groundbreaking concept of triadic percolation, which transforms percolation into a dynamic process with intermittent node activation and potential chaotic behavior. Understand how this new perspective on percolation applies to real-world systems like brain functional networks and climate. Gain insights into cutting-edge research that reshapes our understanding of complex network dynamics and their applications in various fields.

Topology Shapes Dynamics of Higher-order Networks