---
res:
  bibo_abstract:
  - "Let 1 ≤ k ≤ n and M be a random n × n matrix with independent uniformly random
    {±1}-entries. We\r\nshow that there exists an absolute constant c > 0 such that\r\nP[rank(M)
    ≤ n − k] ≤ exp(−cnk).\r\nThis confirms a well-known prediction in the area, extending
    a result of Rudelson (who previously\r\nproved this same result under the restriction
    k ≤ √n, via different methods).@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Zach
      foaf_name: Hunter, Zach
      foaf_surname: Hunter
  - foaf_Person:
      foaf_givenName: Matthew Alan
      foaf_name: Kwan, Matthew Alan
      foaf_surname: Kwan
      foaf_workInfoHomepage: http://www.librecat.org/personId=5fca0887-a1db-11eb-95d1-ca9d5e0453b3
    orcid: 0000-0002-4003-7567
  - foaf_Person:
      foaf_givenName: Lisa
      foaf_name: Sauermann, Lisa
      foaf_surname: Sauermann
  - foaf_Person:
      foaf_givenName: Mehtaab
      foaf_name: Sawhney, Mehtaab
      foaf_surname: Sawhney
  bibo_doi: 10.1093/imrn/rnag126
  bibo_issue: '12'
  bibo_volume: 2026
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1073-7928
  - http://id.crossref.org/issn/1687-0247
  dct_language: eng
  dct_publisher: Oxford University Press@
  dct_title: On random matrices with large corank@
...