A Thouless formula for quasi-periodic long-range Schrödinger operators

Series
CDSNS Colloquium
Time
Friday, February 7, 2014 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 06
Speaker
Alex Haro – Univ. of Barcelona
Organizer
Rafael de la Llave
This talk is devoted to quasi-periodic Schrödinger operators beyond theAlmost Mathieu, with more general potentials and interactions. The linksbetween the spectral properties of these operators and the dynamicalproperties of the associated quasi-periodic linear skew-products rule thegame. In particular, we present a Thouless formula and some consequencesof Aubry duality. This is a joint work with Joaquim Puig~