{"date_updated":"2021-01-12T06:51:05Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"intvolume":"       163","status":"public","abstract":[{"text":"We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensembles with correlated entries. ","lang":"eng"}],"day":"01","quality_controlled":"1","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Oskari H. Ajanki was Partially supported by ERC Advanced Grant RANMAT No. 338804, and SFB-TR 12 Grant of the German Research Council. László Erdős was Partially supported by ERC Advanced Grant RANMAT No. 338804. Torben Krüger was Partially supported by ERC Advanced Grant RANMAT No. 338804, and SFB-TR 12 Grant of the German Research Council.","ec_funded":1,"project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","grant_number":"338804"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"pubrep_id":"516","volume":163,"has_accepted_license":"1","publication":"Journal of Statistical Physics","date_created":"2018-12-11T11:52:19Z","ddc":["510"],"file":[{"file_id":"4869","access_level":"open_access","checksum":"7139598dcb1cafbe6866bd2bfd732b33","creator":"system","date_updated":"2020-07-14T12:44:57Z","content_type":"application/pdf","file_size":660602,"file_name":"IST-2016-516-v1+1_s10955-016-1479-y.pdf","date_created":"2018-12-12T10:11:16Z","relation":"main_file"}],"year":"2016","date_published":"2016-04-01T00:00:00Z","article_processing_charge":"Yes (via OA deal)","language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:44:57Z","author":[{"last_name":"Ajanki","id":"36F2FB7E-F248-11E8-B48F-1D18A9856A87","first_name":"Oskari H","full_name":"Ajanki, Oskari H"},{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","first_name":"László"},{"full_name":"Krüger, Torben H","orcid":"0000-0002-4821-3297","first_name":"Torben H","last_name":"Krüger","id":"3020C786-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"5698","page":"280 - 302","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"LaEr"}],"oa":1,"scopus_import":1,"publisher":"Springer","publication_status":"published","doi":"10.1007/s10955-016-1479-y","_id":"1489","month":"04","issue":"2","title":"Local spectral statistics of Gaussian matrices with correlated entries","oa_version":"Published Version","type":"journal_article","citation":{"short":"O.H. Ajanki, L. Erdös, T.H. Krüger, Journal of Statistical Physics 163 (2016) 280–302.","apa":"Ajanki, O. H., Erdös, L., &#38; Krüger, T. H. (2016). Local spectral statistics of Gaussian matrices with correlated entries. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-016-1479-y\">https://doi.org/10.1007/s10955-016-1479-y</a>","ama":"Ajanki OH, Erdös L, Krüger TH. Local spectral statistics of Gaussian matrices with correlated entries. <i>Journal of Statistical Physics</i>. 2016;163(2):280-302. doi:<a href=\"https://doi.org/10.1007/s10955-016-1479-y\">10.1007/s10955-016-1479-y</a>","ista":"Ajanki OH, Erdös L, Krüger TH. 2016. Local spectral statistics of Gaussian matrices with correlated entries. Journal of Statistical Physics. 163(2), 280–302.","chicago":"Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Spectral Statistics of Gaussian Matrices with Correlated Entries.” <i>Journal of Statistical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s10955-016-1479-y\">https://doi.org/10.1007/s10955-016-1479-y</a>.","ieee":"O. H. Ajanki, L. Erdös, and T. H. Krüger, “Local spectral statistics of Gaussian matrices with correlated entries,” <i>Journal of Statistical Physics</i>, vol. 163, no. 2. Springer, pp. 280–302, 2016.","mla":"Ajanki, Oskari H., et al. “Local Spectral Statistics of Gaussian Matrices with Correlated Entries.” <i>Journal of Statistical Physics</i>, vol. 163, no. 2, Springer, 2016, pp. 280–302, doi:<a href=\"https://doi.org/10.1007/s10955-016-1479-y\">10.1007/s10955-016-1479-y</a>."}}