2016
Dec
29

# Analysis and PDEs Seminar: Svetlana Jitomirskaya (UC Irvine)

1:00pm to 2:00pm

## Location:

Ross 70

Title: Sharp arithmetic spectral transitions and universal hierarchical structure of quasiperiodic eigenfunctions.

Abstract: A very captivating question in solid state physics

is to determine/understand the hierarchical structure of spectral features

of operators describing 2D Bloch electrons in perpendicular magnetic

fields, as related to the continued fraction expansion of the magnetic

flux. In particular, the hierarchical behavior of the eigenfunctions of

the almost Mathieu operators, despite signifi cant numerical studies and

Abstract: A very captivating question in solid state physics

is to determine/understand the hierarchical structure of spectral features

of operators describing 2D Bloch electrons in perpendicular magnetic

fields, as related to the continued fraction expansion of the magnetic

flux. In particular, the hierarchical behavior of the eigenfunctions of

the almost Mathieu operators, despite signifi cant numerical studies and