Dia: Dimecres, 20 de març de 2019
Lloc: Aula S01, Facultat de Matemàtiques i Estadística, UPC.
A càrrec de: Joaquim Puig, Universitat Politècnica de Catalunya
Títol:i Lyapunov exponents for Quasi-Periodic Schrödinger Operators and Cocycles
Resum: We will review some recent developments in the understanding of the upper Lyapunov exponent for quasi-periodic Schrödinger operators and their cocycles. We will be interested in its regularity as a function of the energy and the existence of lower bounds, which produce non uniformly hyperbolic dynamics. For trigonometric potentials with one frequency, we will present a Thouless formula and an approach based on Aubry duality which allows a fairly accurate description of the general mechanisms in this setting.
This talk is part of a joint research project with Alex Haro.
Last updated: Fri Mar 15 15:32:53 2019