School of Mathematical Sciences

Central spectral gaps of the almost Mathieu operator menu

Central spectral gaps of the almost Mathieu operator

Speaker: 
Igor Krasovsky (ICL)
Date/Time: 
Wed, 15/11/2017 - 13:00
Room: 
W316 Queen's Building

We consider the spectrum of the almost Mathieu operator H with an
irrational frequency and in the case of the critical coupling.
For frequencies admitting a power-law approximation by rationals, we show that the central gaps of H are open and provide a lower bound for their widths.