From Centrality Measures to Nanowire Networks - Disordered Systems Methods to the Rescue

Watch a 49-minute lecture from Los Alamos National Lab researcher Francesco Caravelli at the Santa Fe Institute exploring the connection between centrality measures and nanowire networks through disordered systems methods. Discover why seemingly non-local centrality measures like Katz, PageRank, and Trophic Levels show strong correlations with local quantities such as degree, explained through advanced techniques including the replica trick and cavity method. Explore how these mathematical approaches extend to self-assembled nanowire "memristive" networks, where memory effects at the nanoscale enable unique behaviors. Learn how Kirchhoff's laws and disordered systems methods can be applied to derive mean field theories for network dynamics in the annealed approximation. Gain insights into the implications for neuromorphic computing and understanding the asymptotic dynamics of these complex systems.