{"id":"https://openalex.org/W2003008253","doi":"https://doi.org/10.2178/jsl/1164060464","title":"Corrigendum to: \u2018A constructive view on ergodic theorems\u2019","display_name":"Corrigendum to: \u2018A constructive view on ergodic theorems\u2019","publication_year":2006,"publication_date":"2006-12-01","ids":{"openalex":"https://openalex.org/W2003008253","doi":"https://doi.org/10.2178/jsl/1164060464","mag":"2003008253"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1164060464","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1164060464","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},"type":"erratum","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/A5043123968","display_name":"Bas Spitters","orcid":"https://orcid.org/0000-0002-2802-0973"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Bas Spitters","raw_affiliation_strings":["Radboud University Nijmegen, The Netherlands, E-mail:","Radboud University Nijmegen#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radboud University Nijmegen, The Netherlands, E-mail:","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Radboud University Nijmegen#TAB#","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043123968"],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":null,"apc_paid":null,"fwci":2.2824,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91414776,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"71","issue":"4","first_page":"1431","last_page":"1432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.7840999960899353,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.7840999960899353,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.8055702447891235},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.7997907400131226},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7742486596107483},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7331355214118958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7165102362632751},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6766434907913208},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.6728579998016357},{"id":"https://openalex.org/keywords/paragraph","display_name":"Paragraph","score":0.5532846450805664},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5251542925834656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4807422161102295},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4184103012084961},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3412574231624603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11672484874725342},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.04804232716560364}],"concepts":[{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.8055702447891235},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.7997907400131226},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7742486596107483},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7331355214118958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7165102362632751},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6766434907913208},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.6728579998016357},{"id":"https://openalex.org/C2777206241","wikidata":"https://www.wikidata.org/wiki/Q194431","display_name":"Paragraph","level":2,"score":0.5532846450805664},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5251542925834656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4807422161102295},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4184103012084961},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3412574231624603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11672484874725342},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.04804232716560364},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.2178/jsl/1164060464","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1164060464","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1164060464","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1164060464","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.639.2274","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.639.2274","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ru.nl/~spitters/ergodic-cor.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:647886","is_oa":false,"landing_page_url":"http://repository.tue.nl/647886","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0022-4812","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/112646","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/112646","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:repository.ubn.ru.nl:2066/112753","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/112753","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2115770784","https://openalex.org/W2127217337"],"related_works":["https://openalex.org/W2077676730","https://openalex.org/W2949623910","https://openalex.org/W2949665548","https://openalex.org/W3186402499","https://openalex.org/W2063422058","https://openalex.org/W201195458","https://openalex.org/W2950188642","https://openalex.org/W151625577","https://openalex.org/W1844192718","https://openalex.org/W2109693504"],"abstract_inverted_index":{"Abstract":[0],"Jeremy":[1],"Avigad":[2,37],"kindly":[3],"pointed":[4],"out":[5],"to":[6,57,93,122],"me":[7],"that":[8,24,39,80,124],"the":[9,19,40,43,58,73,97,105,126,132,137],"proof":[10,44,133],"of":[11,45,75,131,134],"Theorem":[12,46,76,102],"2":[13,77],"in":[14,42,48,96,125],"[3]":[15],"is":[16,26,29,32,88],"incomplete.":[17],"At":[18],"very":[20],"end":[21],"it":[22],"assumes":[23],"when":[25],"located,":[27],"so":[28],".":[30,143],"This":[31],"not":[33],"correct.":[34],"In":[35],"fact,":[36],"explained":[38],"construction":[41],"15.3":[47],"[1]":[49],"can":[50],"be":[51,79,94,113,140],"read":[52],"as":[53],"a":[54,71],"recursive":[55],"counterexample":[56],"statement:":[59],"\u2018If":[60],",":[61],"then":[62],"A":[63,81],"n":[64,82],"x":[65],"converges":[66,83],"for":[67],"every":[68],"x\u2019.":[69],"As":[70,115],"result":[72],"conclusion":[74],"should":[78,112,139],"if":[84,87],"and":[85,101],"only":[86],"located.":[89],"Similar":[90],"changes":[91],"have":[92],"made":[95],"abstract,":[98],"Lemma":[99],"4,":[100],"16.":[103],"Finally,":[104],"paragraph":[106],"on":[107],"ergodic":[108],"measure":[109],"preserving":[110],"transformations":[111],"removed.":[114],"an":[116],"unrelated":[117],"point":[118],"we":[119],"would":[120],"like":[121],"mention":[123],"last":[127],"two":[128],"displayed":[129],"equations":[130],"theorem":[135],"1":[136],"term":[138],"replaced":[141],"by":[142]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}