---
res:
  bibo_abstract:
  - "We study the sensitivity of the eigenvectors of random matrices, showing that
    even small perturbations make the eigenvectors almost orthogonal. More precisely,
    we consider two deformed Wigner matrices \U0001D44A +\U0001D4371, \U0001D44A +\U0001D4372
    and show that their bulk eigenvectors become asymptotically orthogonal as soon
    as Tr⁡(\U0001D4371−\U0001D4372)2 ≫1, or their respective energies are separated
    on a scale much bigger than the local eigenvalue spacing. Furthermore, we show
    that quadratic forms of eigenvectors of \U0001D44A +\U0001D4371, \U0001D44A +\U0001D4372
    with any deterministic matrix \U0001D434 ∈\U0001D402\U0001D441×\U0001D441 in a
    specific subspace of codimension one are of size \U0001D441−1/2. This proves a
    generalization of the eigenstate thermalization hypothesis to eigenvectors belonging
    to two different spectral families.@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: Sven Joscha
      foaf_name: Henheik, Sven Joscha
      foaf_surname: Henheik
      foaf_workInfoHomepage: http://www.librecat.org/personId=31d731d7-d235-11ea-ad11-b50331c8d7fb
    orcid: 0000-0003-1106-327X
  - foaf_Person:
      foaf_givenName: Oleksii
      foaf_name: Kolupaiev, Oleksii
      foaf_surname: Kolupaiev
      foaf_workInfoHomepage: http://www.librecat.org/personId=149b70d4-896a-11ed-bdf8-8c63fd44ca61
    orcid: 0000-0003-1491-4623
  bibo_doi: 10.1214/26-AAP2318
  bibo_issue: '4'
  bibo_volume: 36
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1050-5164
  dct_language: eng
  dct_publisher: Institute of Mathematical Statistics@
  dct_subject:
  - characteristic flow
  - Davis–Kahan theorem
  - Eigenstate thermalization
  - Eigenvector perturbation theory
  - Local law
  - zigzag strategy
  dct_title: Eigenvector decorrelation for random matrices@
...