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arXiv · 1409.8376

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

Christopher Shirley
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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.

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Christopher Shirley. 2014-09-30. Decorrelation estimates for some continuous and discrete random schrödinger operators in dimension one and applications to spectral statistics. https://doi.org/10.1007/s10955-014-1168-7

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