{"id":"https://openalex.org/W2070532359","doi":"https://doi.org/10.1007/s10998-012-7874-5","title":"Optimal continued fractions and the moving average ergodic theorem","display_name":"Optimal continued fractions and the moving average ergodic theorem","publication_year":2012,"publication_date":"2012-09-04","ids":{"openalex":"https://openalex.org/W2070532359","doi":"https://doi.org/10.1007/s10998-012-7874-5","mag":"2070532359"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-012-7874-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-012-7874-5","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/A5111814850","display_name":"Hailiza Kamarul Haili","orcid":null},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"H. Kamarul Haili","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia, Minden, 11800, Penang, Malaysia","Universiti Sains Malaysia Minden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia, Minden, 11800, Penang, Malaysia","institution_ids":["https://openalex.org/I139322472"]},{"raw_affiliation_string":"Universiti Sains Malaysia Minden","institution_ids":["https://openalex.org/I139322472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070577966","display_name":"Ramachandran D. Nair","orcid":"https://orcid.org/0000-0003-3105-715X"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"R. Nair","raw_affiliation_strings":["Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, UK","#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070577966"],"corresponding_institution_ids":["https://openalex.org/I146655781"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4194,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59563311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"66","issue":"1","first_page":"95","last_page":"103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9861000180244446,"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":0.9861000180244446,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9484000205993652,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9482944011688232},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.8932790756225586},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4908309876918793},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.48664459586143494},{"id":"https://openalex.org/keywords/continued-fraction","display_name":"Continued fraction","score":0.4795520007610321},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.380531907081604},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36778903007507324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3632786273956299},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.050145745277404785}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9482944011688232},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.8932790756225586},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4908309876918793},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.48664459586143494},{"id":"https://openalex.org/C20080352","wikidata":"https://www.wikidata.org/wiki/Q206816","display_name":"Continued fraction","level":3,"score":0.4795520007610321},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.380531907081604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36778903007507324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3632786273956299},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.050145745277404785},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-012-7874-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-012-7874-5","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W469758177","https://openalex.org/W2027223151","https://openalex.org/W2041942465","https://openalex.org/W2042224645","https://openalex.org/W2057101465","https://openalex.org/W2103519311","https://openalex.org/W2466691044","https://openalex.org/W2553614808","https://openalex.org/W3002248317","https://openalex.org/W3109381375","https://openalex.org/W4255338393"],"related_works":["https://openalex.org/W4281788122","https://openalex.org/W2326903209","https://openalex.org/W2054094778","https://openalex.org/W2971072471","https://openalex.org/W974555882","https://openalex.org/W3178688590","https://openalex.org/W2926860286","https://openalex.org/W2959121099","https://openalex.org/W2979136654","https://openalex.org/W4230249582"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}