Decorrelation estimates for some continuous and discrete random schrödinger operators in dimension one and applications to spectral statistics

Abstract

The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schrödinger operator in dimension one. In particular, we establish the result for some random operators on the continuum with alloy-type potential. These results are used to give a description of the spectral statistics.

References in corpus (2)

• Generalized eigenvalue-counting estimates for the Anderson model
• Localization on quantum graphs with random vertex couplings

Cited by in corpus (1)

• Decorrelation estimates for some continuous and discrete random Schr{ö}dinger operators in dimension one, without covering condition