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The purpose of the present work is to establish decorrelation estimates forsome random discrete Schrodinger operator in dimension one. We prove that theMinami estimates are consequences of the Wegner estimates and Localization. Wealso prove decorrelation estimates at distinct energies for the random hoppingmodel and Schrodinger operators with alloy-type potentials. These results areused to give a description of the spectral statistics.

Decorrelation estimates for random discrete Schr\"odinger operators in dimension one and applications to spectral statistics