Sistemi dinamici nonlineari e applicazioni

Reducibility Results for Analytic and Differentiable SL(2,R)-Valued Quasi-Periodic Cocycles

speaker: Claire Chavaudret (Centro di Ricerca Matematica Ennio De Giorgi)

abstract: Quasi-periodic cocycles are the fundamental solutions of linear systems with quasi-periodic coefficients, as for instance the one-dimensional Schrödinger equation with quasi-periodic potential. They are said reducible if they can be conjugated, in some sense, to the fundamental solution of a system with constant coefficient. If the frequency is diophantine and if the potential is close enough to a constant in the analytic norm, a theorem by Eliasson says that the Schrödinger cocycle is analytically reducible for almost every energy. We will see an analogue of this theorem in the differentiable case.

timetable:
Fri 18 Feb, 16:30 - 17:00, Aula Bianchi Scienze
<< Go back