{"oa_version":"Preprint","publication":"Random Matrices: Theory and Applications","publisher":"World Scientific","abstract":[{"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.","lang":"eng"}],"title":"On the operator norm of a Hermitian random matrix with correlated entries","date_updated":"2024-07-04T11:20:30Z","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2103.03906"}],"year":"2022","keyword":["Discrete Mathematics and Combinatorics","Statistics","Probability and Uncertainty","Statistics and Probability","Algebra and Number Theory"],"publication_identifier":{"eissn":["2010-3271"],"issn":["2010-3263"]},"intvolume":" 11","scopus_import":"1","month":"10","date_created":"2022-04-08T07:11:12Z","_id":"11135","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"No","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"day":"01","status":"public","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"17164"}]},"author":[{"last_name":"Reker","full_name":"Reker, Jana","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","first_name":"Jana"}],"quality_controlled":"1","article_number":"2250036","volume":11,"isi":1,"doi":"10.1142/s2010326322500368","date_published":"2022-10-01T00:00:00Z","issue":"4","language":[{"iso":"eng"}],"article_type":"original","citation":{"short":"J. Reker, Random Matrices: Theory and Applications 11 (2022).","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.","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.","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","ista":"Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 11(4), 2250036.","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","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."},"external_id":{"isi":["000848873800001"],"arxiv":["2103.03906"]},"oa":1,"type":"journal_article"}