Overview
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Explore a graduate-level lecture from Kyoto University's Top Global Course Special Lectures series focusing on the spectrum of random graphs. Delve into advanced mathematical concepts as Professor Charles Bordenave from CNRS & Aix-Marseille University examines spectral measures and their continuity properties in relation to the Benjamini-Schramm topology. Learn about the regularity properties of spectral measures within the quantum percolation framework and understand the convergence of extremal eigenvalues in random graphs. Study the adjacency and Laplacian operators of finite random graphs and Cayley graphs of groups in this comprehensive online lecture delivered in November 2021.
Syllabus
Kyoto University "Spectrum of random graphs" L.5 Charles Bordenave (CNRS & Aix-Marseille University)
Taught by
Kyoto-U OCW - Unofficial