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

Probability Seminar

1st December 2017, 2:30 pm – 3:30 pm

Main Maths Building, SM4

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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