Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime

Frédéric Klopp (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

The purpose of the present work is to establish decorrelation estimates for the locally renormalized eigenvalues of the discrete Anderson model near two distinct energies inside the localization region. In dimension one, we prove these estimates at all energies. In higher dimensions, the energies are required to be sufficiently far apart from each other.

Mots clés: random Schrödinger operators; renormalized local eigenvalues; decorrelation estimates

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Frédéric Klopp. Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime. 2010. ⟨hal-00467011v2⟩