From random matrices to random operators

来源 :2017几何分析和概率研讨会 | 被引量 : 0次 | 上传用户:chiivy
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  The local eigenvalue statistics of random band matrices,which interpolate between random Schrodinger operators(Poisson statistics)and random matrices(GOE/GUE statistics),are conjectured to admit an Anderson transition from Poisson statistics to GOE/GUE statistics.We give a brief introduction to such a conjecture.
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