{"id":"https://openalex.org/W2159025283","doi":"https://doi.org/10.1090/mcom/2964","title":"A computable absolutely normal Liouville number","display_name":"A computable absolutely normal Liouville number","publication_year":2015,"publication_date":"2015-04-24","ids":{"openalex":"https://openalex.org/W2159025283","doi":"https://doi.org/10.1090/mcom/2964","mag":"2159025283"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/2964","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/2964","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11336/31988","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072436621","display_name":"Ver\u00f3nica Becher","orcid":"https://orcid.org/0000-0002-5425-8563"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I53241121","display_name":"Fundaci\u00f3n Ciencias Exactas y Naturales","ror":"https://ror.org/05rxmkq09","country_code":"AR","type":"nonprofit","lineage":["https://openalex.org/I53241121"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Ver\u00f3nica Becher","raw_affiliation_strings":["Departmento de Computaci\u00c3\u00b3n, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires & CONICET, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmento de Computaci\u00c3\u00b3n, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires & CONICET, Argentina","institution_ids":["https://openalex.org/I53241121","https://openalex.org/I151201029","https://openalex.org/I24354313"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001073093","display_name":"Pablo Ariel Heiber","orcid":null},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I53241121","display_name":"Fundaci\u00f3n Ciencias Exactas y Naturales","ror":"https://ror.org/05rxmkq09","country_code":"AR","type":"nonprofit","lineage":["https://openalex.org/I53241121"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Pablo Heiber","raw_affiliation_strings":["Departmento de Computaci\u00c3\u00b3n, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires & CONICET, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmento de Computaci\u00c3\u00b3n, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires & CONICET, Argentina","institution_ids":["https://openalex.org/I53241121","https://openalex.org/I151201029","https://openalex.org/I24354313"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056375116","display_name":"Theodore A. Slaman","orcid":"https://orcid.org/0000-0002-1719-2630"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Theodore Slaman","raw_affiliation_strings":["The University of California, Berkeley, Department of Mathematics, 719 Evans Hall #3840, Berkeley, California 94720-3840"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of California, Berkeley, Department of Mathematics, 719 Evans Hall #3840, Berkeley, California 94720-3840","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9074,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.91419152,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"84","issue":"296","first_page":"2939","last_page":"2952"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991000294685364,"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/T11567","display_name":"semigroups and automata theory","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9242281913757324},{"id":"https://openalex.org/keywords/absolute-continuity","display_name":"Absolute continuity","score":0.7325994968414307},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40125492215156555},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3314379155635834},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3283618092536926}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9242281913757324},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.7325994968414307},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40125492215156555},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3314379155635834},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3283618092536926}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/mcom/2964","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/2964","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/31988","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/31988","pdf_url":"http://hdl.handle.net/11336/31988","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:3130066","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3130066","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ri.conicet.gov.ar:11336/31988","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/31988","pdf_url":"http://hdl.handle.net/11336/31988","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323257","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2159025283.pdf","grobid_xml":"https://content.openalex.org/works/W2159025283.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1557463835","https://openalex.org/W1567154944","https://openalex.org/W1607458528","https://openalex.org/W1988289556","https://openalex.org/W2024776286","https://openalex.org/W2033869883","https://openalex.org/W2077055049","https://openalex.org/W2082647537","https://openalex.org/W2104645570","https://openalex.org/W2148274234","https://openalex.org/W2255307964","https://openalex.org/W3104591069"],"related_works":["https://openalex.org/W2372399127","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W2020119777","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"We":[0],"give":[1],"an":[2,6],"algorithm":[3],"that":[4],"computes":[5],"absolutely":[7],"normal":[8],"Liouville":[9],"number.":[10]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
