{"external_id":{"isi":["000341869300001"]},"date_updated":"2025-09-29T11:35:54Z","corr_author":"1","oa":1,"month":"06","_id":"2179","abstract":[{"lang":"eng","text":"We extend the proof of the local semicircle law for generalized Wigner matrices given in MR3068390 to the case when the matrix of variances has an eigenvalue -1. In particular, this result provides a short proof of the optimal local Marchenko-Pastur law at the hard edge (i.e. around zero) for sample covariance matrices X*X, where the variances of the entries of X may vary."}],"intvolume":"        19","file":[{"relation":"main_file","access_level":"open_access","date_updated":"2020-07-14T12:45:31Z","file_name":"IST-2016-426-v1+1_3121-17518-1-PB.pdf","creator":"system","checksum":"bd8a041c76d62fe820bf73ff13ce7d1b","file_id":"4729","date_created":"2018-12-12T10:09:06Z","file_size":327322,"content_type":"application/pdf"}],"department":[{"_id":"LaEr"}],"publication":"Electronic Communications in Probability","volume":19,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2020-07-14T12:45:31Z","citation":{"ieee":"O. H. Ajanki, L. Erdös, and T. H. Krüger, “Local semicircle law with imprimitive variance matrix,” <i>Electronic Communications in Probability</i>, vol. 19. Institute of Mathematical Statistics, 2014.","chicago":"Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Semicircle Law with Imprimitive Variance Matrix.” <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics, 2014. <a href=\"https://doi.org/10.1214/ECP.v19-3121\">https://doi.org/10.1214/ECP.v19-3121</a>.","apa":"Ajanki, O. H., Erdös, L., &#38; Krüger, T. H. (2014). Local semicircle law with imprimitive variance matrix. <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/ECP.v19-3121\">https://doi.org/10.1214/ECP.v19-3121</a>","ista":"Ajanki OH, Erdös L, Krüger TH. 2014. Local semicircle law with imprimitive variance matrix. Electronic Communications in Probability. 19.","mla":"Ajanki, Oskari H., et al. “Local Semicircle Law with Imprimitive Variance Matrix.” <i>Electronic Communications in Probability</i>, vol. 19, Institute of Mathematical Statistics, 2014, doi:<a href=\"https://doi.org/10.1214/ECP.v19-3121\">10.1214/ECP.v19-3121</a>.","ama":"Ajanki OH, Erdös L, Krüger TH. Local semicircle law with imprimitive variance matrix. <i>Electronic Communications in Probability</i>. 2014;19. doi:<a href=\"https://doi.org/10.1214/ECP.v19-3121\">10.1214/ECP.v19-3121</a>","short":"O.H. Ajanki, L. Erdös, T.H. Krüger, Electronic Communications in Probability 19 (2014)."},"quality_controlled":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"doi":"10.1214/ECP.v19-3121","has_accepted_license":"1","publist_id":"4803","pubrep_id":"426","date_published":"2014-06-09T00:00:00Z","type":"journal_article","ddc":["570"],"day":"09","scopus_import":"1","language":[{"iso":"eng"}],"isi":1,"year":"2014","author":[{"last_name":"Ajanki","id":"36F2FB7E-F248-11E8-B48F-1D18A9856A87","first_name":"Oskari H","full_name":"Ajanki, Oskari H"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"orcid":"0000-0002-4821-3297","full_name":"Krüger, Torben H","first_name":"Torben H","last_name":"Krüger","id":"3020C786-F248-11E8-B48F-1D18A9856A87"}],"oa_version":"Published Version","title":"Local semicircle law with imprimitive variance matrix","article_processing_charge":"No","publisher":"Institute of Mathematical Statistics","publication_status":"published","date_created":"2018-12-11T11:56:10Z","status":"public"}