---
_id: '11135'
abstract:
- lang: eng
text: We consider a correlated NxN Hermitian random matrix with a polynomially decaying
metric correlation structure. By calculating the trace of the moments of the matrix
and using the summable decay of the cumulants, we show that its operator norm
is stochastically dominated by one.
article_number: '2250036'
article_processing_charge: No
article_type: original
author:
- first_name: Jana
full_name: Reker, Jana
id: e796e4f9-dc8d-11ea-abe3-97e26a0323e9
last_name: Reker
citation:
ama: 'Reker J. On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. 2022;11(4). doi:10.1142/s2010326322500368'
apa: 'Reker, J. (2022). On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. World Scientific. https://doi.org/10.1142/s2010326322500368'
chicago: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated
Entries.” Random Matrices: Theory and Applications. World Scientific, 2022.
https://doi.org/10.1142/s2010326322500368.'
ieee: 'J. Reker, “On the operator norm of a Hermitian random matrix with correlated
entries,” Random Matrices: Theory and Applications, vol. 11, no. 4. World
Scientific, 2022.'
ista: 'Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. 11(4), 2250036.'
mla: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated
Entries.” Random Matrices: Theory and Applications, vol. 11, no. 4, 2250036,
World Scientific, 2022, doi:10.1142/s2010326322500368.'
short: 'J. Reker, Random Matrices: Theory and Applications 11 (2022).'
date_created: 2022-04-08T07:11:12Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2023-08-03T06:32:22Z
day: '01'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1142/s2010326322500368
external_id:
arxiv:
- '2103.03906'
isi:
- '000848873800001'
intvolume: ' 11'
isi: 1
issue: '4'
keyword:
- Discrete Mathematics and Combinatorics
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2103.03906'
month: '10'
oa: 1
oa_version: Preprint
publication: 'Random Matrices: Theory and Applications'
publication_identifier:
eissn:
- 2010-3271
issn:
- 2010-3263
publication_status: published
publisher: World Scientific
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the operator norm of a Hermitian random matrix with correlated entries
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11
year: '2022'
...