{"id":"https://openalex.org/W2963785220","doi":"https://doi.org/10.3233/asy-2010-1004","title":"Asymptotics of characteristic polynomials of Wigner matrices at the edge of the spectrum","display_name":"Asymptotics of characteristic polynomials of Wigner matrices at the edge of the spectrum","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2963785220","doi":"https://doi.org/10.3233/asy-2010-1004","mag":"2963785220"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2010-1004","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-1004","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028031992","display_name":"Holger K\u00f6sters","orcid":"https://orcid.org/0000-0002-2306-853X"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"H. K\u00f6sters","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501 Bielefeld, Germany. E-mail: hkoesters@math.uni-bielefeld.de","Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501 Bielefeld, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501 Bielefeld, Germany. E-mail: hkoesters@math.uni-bielefeld.de","institution_ids":["https://openalex.org/I20121455"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501 Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028031992"],"corresponding_institution_ids":["https://openalex.org/I20121455"],"apc_list":null,"apc_paid":null,"fwci":1.1646,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82313121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"69","issue":"3-4","first_page":"233","last_page":"248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.7245827913284302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5627139806747437},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5607880353927612},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4659610390663147},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3725288510322571},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35912203788757324},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2896488904953003},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17722254991531372},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06075441837310791}],"concepts":[{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.7245827913284302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5627139806747437},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5607880353927612},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4659610390663147},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3725288510322571},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35912203788757324},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2896488904953003},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17722254991531372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06075441837310791},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2010-1004","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-1004","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1597841999","https://openalex.org/W1967640295","https://openalex.org/W1968062933","https://openalex.org/W1977752707","https://openalex.org/W1981840307","https://openalex.org/W2040511951","https://openalex.org/W2044699574","https://openalex.org/W2086497834","https://openalex.org/W2120062331","https://openalex.org/W2949858966","https://openalex.org/W2986057930","https://openalex.org/W3020988704","https://openalex.org/W3100869531","https://openalex.org/W3101482874","https://openalex.org/W3102470037","https://openalex.org/W3103723008","https://openalex.org/W3104449911","https://openalex.org/W3106322149","https://openalex.org/W4297822448","https://openalex.org/W4297889687"],"related_works":["https://openalex.org/W2052899165","https://openalex.org/W2008562718","https://openalex.org/W1495971547","https://openalex.org/W2067604523","https://openalex.org/W2602089430","https://openalex.org/W2154510413","https://openalex.org/W2386935432","https://openalex.org/W2926402417","https://openalex.org/W2372100074","https://openalex.org/W2049544806"],"abstract_inverted_index":{"We":[0,25],"investigate":[1],"the":[2,6,11,20,23,28,38,43,47],"asymptotic":[3],"behaviour":[4],"of":[5,10,14,22],"second-order":[7,31],"correlation":[8,32],"function":[9,33],"characteristic":[12],"polynomial":[13],"a":[15],"Hermitian":[16],"Wigner":[17,59],"matrix":[18],"at":[19],"edge":[21],"spectrum.":[24],"show":[26],"that":[27],"suitably":[29],"rescaled":[30],"is":[34],"asymptotically":[35],"given":[36],"by":[37],"Airy":[39],"kernel,":[40],"thereby":[41],"generalizing":[42],"well-known":[44],"result":[45],"for":[46,57],"Gaussian":[48],"Unitary":[49],"Ensemble":[50],"(GUE).":[51],"Moreover,":[52],"we":[53],"obtain":[54],"similar":[55],"results":[56],"real-symmetric":[58],"matrices.":[60]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
