Spectrum of Random Graphs - Lecture 2

Explore the second lecture in a series on spectral analysis of random graphs, delivered by Professor Charles Bordenave from CNRS and Aix-Marseille University as part of Kyoto University's Graduate School of Science Top Global Course Special Lectures. Delve into advanced mathematical concepts including spectral measures and their continuity properties in relation to Benjamini-Schramm topology, examine the regularity characteristics of spectral measures within quantum percolation frameworks, and investigate the convergence patterns of extremal eigenvalues in random graphs. Master the theoretical foundations of adjacency and Laplacian operators as applied to finite random graphs and Cayley graphs of groups through this comprehensive two-hour online lecture from November 2021.