---
res:
  bibo_abstract:
  - "We consider words Gi1⋯Gim involving i.i.d. complex Ginibre matrices and study
    tracial expressions of their eigenvalues and singular values. We show that the
    limit distribution of the squared singular values of every word of length m is
    a Fuss–Catalan distribution with parameter \r\nm+1. This generalizes previous
    results concerning powers of a complex Ginibre matrix and products of independent
    Ginibre matrices. In addition, we find other combinatorial parameters of the word
    that determine the second-order limits of the spectral statistics. For instance,
    the so-called coperiod of a word characterizes the fluctuations of the eigenvalues.
    We extend these results to words of general non-Hermitian matrices with i.i.d.
    entries under moment-matching assumptions, band matrices, and sparse matrices.\r\nThese
    results rely on the moments method and genus expansion, relating Gaussian matrix
    integrals to the counting of compact orientable surfaces of a given genus. This
    allows us to derive a central limit theorem for the trace of any word of complex
    Ginibre matrices and their conjugate transposes, where all parameters are defined
    topologically.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Guillaume
      foaf_name: Dubach, Guillaume
      foaf_surname: Dubach
      foaf_workInfoHomepage: http://www.librecat.org/personId=D5C6A458-10C4-11EA-ABF4-A4B43DDC885E
    orcid: 0000-0001-6892-8137
  - foaf_Person:
      foaf_givenName: Yuval
      foaf_name: Peled, Yuval
      foaf_surname: Peled
  bibo_doi: 10.1214/20-aop1496
  bibo_issue: '4'
  bibo_volume: 49
  dct_date: 2021^xs_gYear
  dct_identifier:
  - UT:000681349000008
  dct_isPartOf:
  - http://id.crossref.org/issn/0091-1798
  dct_language: eng
  dct_publisher: Institute of Mathematical Statistics@
  dct_subject:
  - Statistics
  - Probability and Uncertainty
  - Statistics and Probability
  dct_title: On words of non-Hermitian random matrices@
...