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

Abstract

The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schr{ö}dinger operator in dimension one. In particular, we establish the result for some random operators on the continuum with alloy-type potential without covering condition assumption. These results are used to give a description of the spectral statistics.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1409.8376

References in corpus (5)

• Correlations Estimates in the Lattice Anderson Model
• Wegner estimate for discrete alloy-type models
• Minami's estimate: beyond rank one perturbation and monotonicity
• Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime
• Decorrelation estimates for some continuous and discrete random schrödinger operators in dimension one and applications to spectral statistics