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

CDSNS Colloquium
Friday, February 7, 2014 - 3:00pm
1 hour (actually 50 minutes)
Skiles 06
Univ. of Barcelona
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~