--- _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' ...