Abstract: The sound of a musical instrument is determined by its
eigenvalues. Spectral properties are also important in quantum
mechanics, combinatorics, electrical theory and the study of random
walks. A basic question is whether the spectrum is continuous (or has
a continuous part). In this talk I will discuss why this is relevant,
and talk about joint work with Bordenave and Sen that shows that most
large trees have a continuous part in their average spectrum.
You can watch the lecture here: