Lecturer: Prof. Rami Band from the Technion
Abstract:
The spectrum of periodic objects has a band-gap structure.
We show that such spectrum can be described in terms of a linear flow on a torus.
This characterization is valid for various periodic structures, such as quantum graphs and electroelastic laminates.
Using this approach allows to prove universal properties of the band-gap density and provides estimates on gap widths and other spectral statistics.
The talk is based on joint works with Gregory Berkolaiko and Gal Shmuel.