Dual Lyapunov exponents and sharp arithmetic spectral transitions for quasiperiodic operators

Series
School of Mathematics Colloquium
Time
Thursday, March 6, 2025 - 9:30am for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Svetlana Jitomirskaya – UC Berkeley – sjitomi@berkeley.edu
Organizer
Matthew Powell

We will describe a recently discovered object, dual Lyapunov exponents, that has emerged as a powerful tool in the spectral analysis of  quasiperiodic operators with analytic potentials, leading to solutions of several long outstanding problems. Based on papers joint with L. Ge, J. You, and Q. Zhou