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- W2131643313 abstract "We prove that, for a general class of random operators, the family of the unfolded eigenvalues in the localization region is asymptotically ergodic in the sense of N. Minami (see [Mi:11]). N. Minami conjectured this to be the case for discrete Anderson model in the localized regime. We also provide a local analogue of this result. From the asymptotics ergodicity, one can recover the statistics of the level spacings as well as a number of other spectral statistics. Our proofs rely on the analysis developed in abs/1011.1832." @default.
- W2131643313 created "2016-06-24" @default.
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- W2131643313 date "2011-05-23" @default.
- W2131643313 modified "2023-09-27" @default.
- W2131643313 title "Asymptotic ergodicity of the eigenvalues of random operators in the localized phase" @default.
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