Local Kesten--McKay Law for random regular graphs

Roland Bauerschmidt
University of Cambridge

For random regular graphs of large but fixed degree, I will discuss results on the delocalization of the eigenvectors and the concentration of the spectral measure at small scales. Our approach combines the almost deterministic structure of random regular graphs at small distances with random matrix like behavior at large distances.
This is joint work with Jiaoyang Huang and Horng-Tzer Yau.

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