Roland Bauerschmidt

Eigenvectors and spectral measure of random regular graphs of fixed degree

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