| Résume | For analytic linear cocycles over Diophantine torus translations the quantitative regularity (e.g. Hölder) of the Lyapunov exponents is well established, a theory which includes the class of quasi-periodic Schrodinger cocycles where the regularity of the Lyapunov exponents relates to spectral properties of the associated Schrodinger operators. In this talk we will address a problem posed by Yiangong You about the asymptotic stability of the Lyapunov spectrum of a quasi-periodic Schrodinger cocycle/operator subject to a small random noise. This talk corresponds to joint work with Ao Cai and Silvius Klein. |
