---
res:
  bibo_abstract:
  - We study the overlaps between right and left eigenvectors for random matrices
    of the spherical ensemble, as well as truncated unitary ensembles in the regime
    where half of the matrix at least is truncated. These two integrable models exhibit
    a form of duality, and the essential steps of our investigation can therefore
    be performed in parallel. In every case, conditionally on all eigenvalues, diagonal
    overlaps are shown to be distributed as a product of independent random variables
    with explicit distributions. This enables us to prove that the scaled diagonal
    overlaps, conditionally on one eigenvalue, converge in distribution to a heavy-tail
    limit, namely, the inverse of a γ2 distribution. We also provide formulae for
    the conditional expectation of diagonal and off-diagonal overlaps, either with
    respect to one eigenvalue, or with respect to the whole spectrum. These results,
    analogous to what is known for the complex Ginibre ensemble, can be obtained in
    these cases thanks to integration techniques inspired from a previous work by
    Forrester & Krishnapur.@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
  bibo_doi: 10.1214/21-EJP686
  bibo_volume: 26
  dct_date: 2021^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1083-6489
  dct_language: eng
  dct_publisher: Institute of Mathematical Statistics@
  dct_title: On eigenvector statistics in the spherical and truncated unitary ensembles@
...