---
res:
  bibo_abstract:
  - We study the eigenvalue trajectories of a time dependent matrix Gt=H+itvv∗ for
    t≥0, where H is an N×N Hermitian random matrix and v is a unit vector. In particular,
    we establish that with high probability, an outlier can be distinguished at all
    times t>1+N−1/3+ϵ, for any ϵ>0. The study of this natural process combines elements
    of Hermitian and non-Hermitian analysis, and illustrates some aspects of the intrinsic
    instability of (even weakly) non-Hermitian matrices.@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: 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
  bibo_doi: 10.1214/23-ECP516
  bibo_volume: 28
  dct_date: 2023^xs_gYear
  dct_identifier:
  - UT:000950650200005
  dct_isPartOf:
  - http://id.crossref.org/issn/1083-589X
  dct_language: eng
  dct_publisher: Institute of Mathematical Statistics@
  dct_title: Dynamics of a rank-one perturbation of a Hermitian matrix@
...