Display Abstract

Title Quasi-periodic long-range Schr\"odinger operators: spectral properties from a dynamical perspective.

Name Alex Haro
Country Spain
Email alex@maia.ub.es
Co-Author(s) Joaquim Puig
Submit Time 2014-02-27 13:24:21
Session
Special Session 19: Nonautonomous dynamics
Contents
This talk is devoted to quasi-periodic Schrodinger operators beyond the Almost Mathieu, with more general trigonometric potentials and finite range interactions. The links between the spectral properties of these operators and the dynamical properties of the associated quasi-periodic linear skew-products rule the game. In particular, we present a Thouless formula and some consequences of Aubry duality.