{"id":"https://openalex.org/W2964153360","doi":"https://doi.org/10.3233/asy-131210","title":"On lacunary Toeplitz determinants","display_name":"On lacunary Toeplitz determinants","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2964153360","doi":"https://doi.org/10.3233/asy-131210","mag":"2964153360"},"language":"en","primary_location":{"id":"doi:10.3233/asy-131210","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131210","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/A5024297659","display_name":"Karol K. Koz\u0142owski","orcid":"https://orcid.org/0000-0002-5861-6399"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"K.K. Kozlowski","raw_affiliation_strings":["UMR 5584 du CNRS, Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, France. E-mail: karol.kozlowski@u-bourgogne.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UMR 5584 du CNRS, Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, France. E-mail: karol.kozlowski@u-bourgogne.fr","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I177064439","https://openalex.org/I4210112333"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024297659"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I177064439","https://openalex.org/I4210112333"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29264622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"88","issue":"1-2","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9603999853134155,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.9603999853134155,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9599000215530396,"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"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9452999830245972,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/lacunary-function","display_name":"Lacunary function","score":0.991525411605835},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9134787917137146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5647727847099304},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35127586126327515}],"concepts":[{"id":"https://openalex.org/C63356602","wikidata":"https://www.wikidata.org/wiki/Q1986013","display_name":"Lacunary function","level":2,"score":0.991525411605835},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9134787917137146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5647727847099304},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35127586126327515}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-131210","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131210","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":0,"referenced_works":[],"related_works":["https://openalex.org/W4388462171","https://openalex.org/W1899570685","https://openalex.org/W4388263356","https://openalex.org/W4317733076","https://openalex.org/W2167868015","https://openalex.org/W2900909991","https://openalex.org/W1965175008","https://openalex.org/W2047071170","https://openalex.org/W2964153360","https://openalex.org/W1492642916"],"abstract_inverted_index":{"By":[0],"using":[1],"Riemann\u2013Hilbert":[2],"problem":[3],"based":[4],"techniques,":[5],"we":[6],"obtain":[7],"the":[8,55],"asymptotic":[9],"expansion":[10],"of":[11,40,64],"lacunary":[12],"Toeplitz":[13],"determinants":[14],"det":[15],"N":[16],"[c":[17],"\u2113":[18,28],"a":[19,29,37,62],"\u2212m":[20],"b":[21,33],"[f]]":[22],"generated":[23],"by":[24],"holomorphic":[25],"symbols,":[26],"where":[27],"=a":[30],"(resp.":[31,46],"m":[32],"=b)":[34],"except":[35],"for":[36],"finite":[38],"subset":[39],"indices":[41],"a=h":[42],"1":[43,48],",\u2026,h":[44],"n":[45],"b=t":[47],",\u2026,t":[49],"r":[50],").":[51],"In":[52],"addition":[53],"to":[54],"usual":[56],"Szeg\u00f6":[57],"asymptotics,":[58],"our":[59],"answer":[60],"involves":[61],"determinant":[63],"size":[65],"n+r.":[66]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
