---
res:
  bibo_abstract:
  - 'We prove a general local law for Wigner matrices that optimally handles observables
    of arbitrary rank and thus unifies the well-known averaged and isotropic local
    laws. As an application, we prove a central limit theorem in quantum unique ergodicity
    (QUE): that is, we show that the quadratic forms of a general deterministic matrix
    A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation.
    For the bulk spectrum, we thus generalise our previous result [17] as valid for
    test matrices A of large rank as well as the result of Benigni and Lopatto [7]
    as valid for specific small-rank observables.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Giorgio
      foaf_name: Cipolloni, Giorgio
      foaf_surname: Cipolloni
      foaf_workInfoHomepage: http://www.librecat.org/personId=42198EFA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-4901-7992
  - foaf_Person:
      foaf_givenName: László
      foaf_name: Erdös, László
      foaf_surname: Erdös
      foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-5366-9603
  - foaf_Person:
      foaf_givenName: Dominik J
      foaf_name: Schröder, Dominik J
      foaf_surname: Schröder
      foaf_workInfoHomepage: http://www.librecat.org/personId=408ED176-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-2904-1856
  bibo_doi: 10.1017/fms.2022.86
  bibo_volume: 10
  dct_date: 2022^xs_gYear
  dct_identifier:
  - UT:000873719200001
  dct_isPartOf:
  - http://id.crossref.org/issn/2050-5094
  dct_language: eng
  dct_publisher: Cambridge University Press@
  dct_subject:
  - Computational Mathematics
  - Discrete Mathematics and Combinatorics
  - Geometry and Topology
  - Mathematical Physics
  - Statistics and Probability
  - Algebra and Number Theory
  - Theoretical Computer Science
  - Analysis
  dct_title: Rank-uniform local law for Wigner matrices@
...