Approximate normal forms via Floquet-Bloch theory: Nehorosev stability for linear waves in quasiperiodic media

Mitia Duerinckx, Antoine Gloria, Christopher Shirley

We study the long-time behavior of the Schr{ö}dinger flow in a heterogeneous potential $\lambda$V with small intensity 0<$\lambda$$\ll$1 (or alternatively at high frequencies). The main new in…