Rank-uniform local law for Wigner matrices
نویسندگان
چکیده
Abstract We prove a general local law for Wigner matrices that optimally handles observables of arbitrary rank and thus unifies the well-known averaged isotropic laws. As an application, we central limit theorem in quantum unique ergodicity (QUE): is, show quadratic forms deterministic matrix A on bulk eigenvectors have approximately Gaussian fluctuation. For spectrum, generalise our previous result [17] as valid test large well Benigni Lopatto [7] specific small-rank observables.
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ژورنال
عنوان ژورنال: Forum of Mathematics, Sigma
سال: 2022
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2022.86