---
res:
  bibo_abstract:
  - We consider general self-adjoint polynomials in several independent random matrices
    whose entries are centered and have the same variance. We show that under certain
    conditions the local law holds up to the optimal scale, i.e., the eigenvalue density
    on scales just above the eigenvalue spacing follows the global density of states
    which is determined by free probability theory. We prove that these conditions
    hold for general homogeneous polynomials of degree two and for symmetrized products
    of independent matrices with i.i.d. entries, thus establishing the optimal bulk
    local law for these classes of ensembles. In particular, we generalize a similar
    result of Anderson for anticommutator. For more general polynomials our conditions
    are effectively checkable numerically.@eng
  bibo_authorlist:
  - 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: Torben H
      foaf_name: Krüger, Torben H
      foaf_surname: Krüger
      foaf_workInfoHomepage: http://www.librecat.org/personId=3020C786-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-4821-3297
  - foaf_Person:
      foaf_givenName: Yuriy
      foaf_name: Nemish, Yuriy
      foaf_surname: Nemish
      foaf_workInfoHomepage: http://www.librecat.org/personId=4D902E6A-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-7327-856X
  bibo_doi: 10.1016/j.jfa.2020.108507
  bibo_issue: '12'
  bibo_volume: 278
  dct_date: 2020^xs_gYear
  dct_identifier:
  - UT:000522798900001
  dct_isPartOf:
  - http://id.crossref.org/issn/0022-1236
  - http://id.crossref.org/issn/1096-0783
  dct_language: eng
  dct_publisher: Elsevier@
  dct_title: Local laws for polynomials of Wigner matrices@
...