### Eigenvectors and spectral measure of random regular graphs of fixed degree

Mathematical Physics Seminar

1st December 2017, 2:30 pm – 3:30 pm

Howard House, SM3

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.

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This is a joint seminar with probability, but is double listed so that it appears in the mathematical-physics series.

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