---
_id: '8601'
abstract:
- lang: eng
  text: We consider large non-Hermitian real or complex random matrices X with independent,
    identically distributed centred entries. We prove that their local eigenvalue
    statistics near the spectral edge, the unit circle, coincide with those of the
    Ginibre ensemble, i.e. when the matrix elements of X are Gaussian. This result
    is the non-Hermitian counterpart of the universality of the Tracy–Widom distribution
    at the spectral edges of the Wigner ensemble.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Giorgio
  full_name: Cipolloni, Giorgio
  id: 42198EFA-F248-11E8-B48F-1D18A9856A87
  last_name: Cipolloni
  orcid: 0000-0002-4901-7992
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Dominik J
  full_name: Schröder, Dominik J
  id: 408ED176-F248-11E8-B48F-1D18A9856A87
  last_name: Schröder
  orcid: 0000-0002-2904-1856
citation:
  ama: Cipolloni G, Erdös L, Schröder DJ. Edge universality for non-Hermitian random
    matrices. <i>Probability Theory and Related Fields</i>. 2021. doi:<a href="https://doi.org/10.1007/s00440-020-01003-7">10.1007/s00440-020-01003-7</a>
  apa: Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2021). Edge universality for
    non-Hermitian random matrices. <i>Probability Theory and Related Fields</i>. Springer
    Nature. <a href="https://doi.org/10.1007/s00440-020-01003-7">https://doi.org/10.1007/s00440-020-01003-7</a>
  chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Edge Universality
    for Non-Hermitian Random Matrices.” <i>Probability Theory and Related Fields</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00440-020-01003-7">https://doi.org/10.1007/s00440-020-01003-7</a>.
  ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Edge universality for non-Hermitian
    random matrices,” <i>Probability Theory and Related Fields</i>. Springer Nature,
    2021.
  ista: Cipolloni G, Erdös L, Schröder DJ. 2021. Edge universality for non-Hermitian
    random matrices. Probability Theory and Related Fields.
  mla: Cipolloni, Giorgio, et al. “Edge Universality for Non-Hermitian Random Matrices.”
    <i>Probability Theory and Related Fields</i>, Springer Nature, 2021, doi:<a href="https://doi.org/10.1007/s00440-020-01003-7">10.1007/s00440-020-01003-7</a>.
  short: G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields
    (2021).
corr_author: '1'
date_created: 2020-10-04T22:01:37Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2025-03-31T16:00:57Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1007/s00440-020-01003-7
ec_funded: 1
external_id:
  arxiv:
  - '1908.00969'
  isi:
  - '000572724600002'
file:
- access_level: open_access
  checksum: 611ae28d6055e1e298d53a57beb05ef4
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-05T14:53:40Z
  date_updated: 2020-10-05T14:53:40Z
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  file_name: 2020_ProbTheory_Cipolloni.pdf
  file_size: 497032
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  success: 1
file_date_updated: 2020-10-05T14:53:40Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '338804'
  name: Random matrices, universality and disordered quantum systems
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: Probability Theory and Related Fields
publication_identifier:
  eissn:
  - '14322064'
  issn:
  - '01788051'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Edge universality for non-Hermitian random matrices
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2021'
...