{"id":"https://openalex.org/W3010938661","doi":"https://doi.org/10.1007/s10998-020-00325-2","title":"Convergence rate for R\u00e9nyi-type continued fraction expansions","display_name":"Convergence rate for R\u00e9nyi-type continued fraction expansions","publication_year":2020,"publication_date":"2020-03-16","ids":{"openalex":"https://openalex.org/W3010938661","doi":"https://doi.org/10.1007/s10998-020-00325-2","mag":"3010938661"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-020-00325-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-020-00325-2","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","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/A5011276868","display_name":"Gabriela Ileana Sebe","orcid":"https://orcid.org/0000-0002-4328-8724"},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]},{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]},{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO","US"],"is_corresponding":false,"raw_author_name":"Gabriela Ileana Sebe","raw_affiliation_strings":["Faculty of Applied Sciences, Politehnica University of Bucharest, Splaiul Independentei 313, 060042, Bucharest, Romania","Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Sept. 13, 050711, Bucharest, Romania","Institute of Mathematical Statistics and Applied Mathematics, Bucharest, Romania","Faculty of Applied Sciences, Politehnica University of Bucharest, Bucharest, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Sciences, Politehnica University of Bucharest, Splaiul Independentei 313, 060042, Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]},{"raw_affiliation_string":"Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Sept. 13, 050711, Bucharest, Romania","institution_ids":["https://openalex.org/I4210153325"]},{"raw_affiliation_string":"Institute of Mathematical Statistics and Applied Mathematics, Bucharest, Romania","institution_ids":["https://openalex.org/I58077936"]},{"raw_affiliation_string":"Faculty of Applied Sciences, Politehnica University of Bucharest, Bucharest, Romania","institution_ids":["https://openalex.org/I61641377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050129479","display_name":"Dan Lascu","orcid":"https://orcid.org/0000-0002-9096-7287"},"institutions":[{"id":"https://openalex.org/I4210093265","display_name":"Mircea cel Batran Naval Academy","ror":"https://ror.org/00pzf4g66","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210093265"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Dan Lascu","raw_affiliation_strings":["Mircea cel Batran Naval Academy, 1 Fulgerului, 900218, Constan\u0163a, Romania","Mircea cel Batran Naval Academy, Constan\u0163a, Romania"],"affiliations":[{"raw_affiliation_string":"Mircea cel Batran Naval Academy, 1 Fulgerului, 900218, Constan\u0163a, Romania","institution_ids":["https://openalex.org/I4210093265"]},{"raw_affiliation_string":"Mircea cel Batran Naval Academy, Constan\u0163a, Romania","institution_ids":["https://openalex.org/I4210093265"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050129479"],"corresponding_institution_ids":["https://openalex.org/I4210093265"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.9566,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84183721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"81","issue":"2","first_page":"239","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9995999932289124,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9983999729156494,"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/mathematics","display_name":"Mathematics","score":0.9421533346176147},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6544507741928101},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6322384476661682},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.6304823160171509},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5489138960838318},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.512614905834198},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5096735954284668},{"id":"https://openalex.org/keywords/invariant-measure","display_name":"Invariant measure","score":0.47782066464424133},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.477075457572937},{"id":"https://openalex.org/keywords/continued-fraction","display_name":"Continued fraction","score":0.4418202340602875},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4053305983543396},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3718632459640503},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34364044666290283},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3409344255924225},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.07795542478561401},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.0779256820678711},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.06096869707107544}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9421533346176147},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6544507741928101},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6322384476661682},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.6304823160171509},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5489138960838318},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.512614905834198},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5096735954284668},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.47782066464424133},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.477075457572937},{"id":"https://openalex.org/C20080352","wikidata":"https://www.wikidata.org/wiki/Q206816","display_name":"Continued fraction","level":3,"score":0.4418202340602875},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4053305983543396},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3718632459640503},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34364044666290283},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3409344255924225},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.07795542478561401},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0779256820678711},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.06096869707107544},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-020-00325-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-020-00325-2","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1498760074","https://openalex.org/W1531625368","https://openalex.org/W1562760227","https://openalex.org/W1696363556","https://openalex.org/W1968212782","https://openalex.org/W2100115794","https://openalex.org/W2972287975","https://openalex.org/W3109381375","https://openalex.org/W4237711979","https://openalex.org/W4247385211"],"related_works":["https://openalex.org/W4281788122","https://openalex.org/W2326903209","https://openalex.org/W2054094778","https://openalex.org/W2971072471","https://openalex.org/W3178688590","https://openalex.org/W2926860286","https://openalex.org/W2959121099","https://openalex.org/W2979136654","https://openalex.org/W4230249582","https://openalex.org/W122547891"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
