{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Institute of Mathematical Statistics","abstract":[{"text":"For large random matrices X with independent, centered entries but not necessarily identical variances, the eigenvalue density of XX* is well-approximated by a deterministic measure on ℝ. We show that the density of this measure has only square and cubic-root singularities away from zero. We also extend the bulk local law in [5] to the vicinity of these singularities.","lang":"eng"}],"oa":1,"has_accepted_license":"1","oa_version":"Published Version","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"doi":"10.1214/17-ECP97","ec_funded":1,"publication":"Electronic Communications in Probability","language":[{"iso":"eng"}],"year":"2017","day":"21","date_updated":"2023-09-07T12:38:08Z","intvolume":"        22","publist_id":"7265","publication_identifier":{"issn":["1083589X"]},"related_material":{"record":[{"id":"149","status":"public","relation":"dissertation_contains"}]},"article_number":"63","citation":{"short":"J. Alt, Electronic Communications in Probability 22 (2017).","mla":"Alt, Johannes. “Singularities of the Density of States of Random Gram Matrices.” <i>Electronic Communications in Probability</i>, vol. 22, 63, Institute of Mathematical Statistics, 2017, doi:<a href=\"https://doi.org/10.1214/17-ECP97\">10.1214/17-ECP97</a>.","apa":"Alt, J. (2017). Singularities of the density of states of random Gram matrices. <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/17-ECP97\">https://doi.org/10.1214/17-ECP97</a>","ista":"Alt J. 2017. Singularities of the density of states of random Gram matrices. Electronic Communications in Probability. 22, 63.","ieee":"J. Alt, “Singularities of the density of states of random Gram matrices,” <i>Electronic Communications in Probability</i>, vol. 22. Institute of Mathematical Statistics, 2017.","ama":"Alt J. Singularities of the density of states of random Gram matrices. <i>Electronic Communications in Probability</i>. 2017;22. doi:<a href=\"https://doi.org/10.1214/17-ECP97\">10.1214/17-ECP97</a>","chicago":"Alt, Johannes. “Singularities of the Density of States of Random Gram Matrices.” <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics, 2017. <a href=\"https://doi.org/10.1214/17-ECP97\">https://doi.org/10.1214/17-ECP97</a>."},"author":[{"last_name":"Alt","first_name":"Johannes","id":"36D3D8B6-F248-11E8-B48F-1D18A9856A87","full_name":"Alt, Johannes"}],"month":"11","date_published":"2017-11-21T00:00:00Z","project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","grant_number":"338804","call_identifier":"FP7","name":"Random matrices, universality and disordered quantum systems"}],"title":"Singularities of the density of states of random Gram matrices","scopus_import":1,"date_created":"2018-12-11T11:47:07Z","file_date_updated":"2020-07-14T12:47:00Z","pubrep_id":"926","department":[{"_id":"LaEr"}],"ddc":["539"],"type":"journal_article","file":[{"file_size":470876,"relation":"main_file","date_created":"2018-12-12T10:08:04Z","file_id":"4663","date_updated":"2020-07-14T12:47:00Z","content_type":"application/pdf","creator":"system","file_name":"IST-2018-926-v1+1_euclid.ecp.1511233247.pdf","access_level":"open_access","checksum":"0ec05303a0de190de145654237984c79"}],"_id":"550","status":"public","volume":22,"quality_controlled":"1","publication_status":"published"}