In this paper, we consider one-dimensional adiabatic quasi-periodic Schrödinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion.

Original languageEnglish
Pages (from-to)889-950
Number of pages62
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume38
Issue number6
DOIs
StatePublished - 1 Nov 2005

    Scopus subject areas

  • Mathematics(all)

ID: 35927757