{"id":"https://openalex.org/W4412656973","doi":"https://doi.org/10.1016/j.ejc.2025.104224","title":"Stability properties for subgroups generated by return words","display_name":"Stability properties for subgroups generated by return words","publication_year":2025,"publication_date":"2025-07-26","ids":{"openalex":"https://openalex.org/W4412656973","doi":"https://doi.org/10.1016/j.ejc.2025.104224"},"language":"en","primary_location":{"id":"doi:10.1016/j.ejc.2025.104224","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104224","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ejc.2025.104224","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062839992","display_name":"France Gheeraert","orcid":null},"institutions":[{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]},{"id":"https://openalex.org/I4210163673","display_name":"Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e","ror":"https://ror.org/04smxbm79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210163673","https://openalex.org/I4647051"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"France Gheeraert","raw_affiliation_strings":["LAMFA, Universit\u00e9 de Picardie Jules Verne, 33 rue Saint Leu, Amiens, 80039, France","LAMFA - Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e - UMR CNRS 7352 UPJV (Universit\u00e9 de Picardie Jules Verne - 33 Rue Saint-Leu - 80039 AMIENS CEDEX 1 - France)"],"affiliations":[{"raw_affiliation_string":"LAMFA, Universit\u00e9 de Picardie Jules Verne, 33 rue Saint Leu, Amiens, 80039, France","institution_ids":["https://openalex.org/I4647051"]},{"raw_affiliation_string":"LAMFA - Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e - UMR CNRS 7352 UPJV (Universit\u00e9 de Picardie Jules Verne - 33 Rue Saint-Leu - 80039 AMIENS CEDEX 1 - France)","institution_ids":["https://openalex.org/I4210163673","https://openalex.org/I4647051","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001091827","display_name":"Herman Goulet-Ouellet","orcid":"https://orcid.org/0000-0003-3445-8469"},"institutions":[{"id":"https://openalex.org/I154799132","display_name":"Universit\u00e9 de Moncton","ror":"https://ror.org/029tnqt29","country_code":"CA","type":"education","lineage":["https://openalex.org/I154799132"]},{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CA","CZ"],"is_corresponding":true,"raw_author_name":"Herman Goulet-Ouellet","raw_affiliation_strings":["Universit\u00e9 de Moncton, 60 rue Notre-Dame-du-Sacr\u00e9-Coeur, Moncton, E1A 3E9, Canada","CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - R\u00e9publique tch\u00e8que)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Moncton, 60 rue Notre-Dame-du-Sacr\u00e9-Coeur, Moncton, E1A 3E9, Canada","institution_ids":["https://openalex.org/I154799132"]},{"raw_affiliation_string":"CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - R\u00e9publique tch\u00e8que)","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084043218","display_name":"Julien Leroy","orcid":"https://orcid.org/0000-0002-5355-4301"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Julien Leroy","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matique, Universit\u00e9 de Li\u00e8ge, All\u00e9e de la d\u00e9couverte 12, Li\u00e8ge, B-4000, Belgium","ULi\u00e8ge - Universit\u00e9 de Li\u00e8ge = University of Li\u00e8ge = Universiteit van Luik = Universit\u00e4t L\u00fcttich (Place du 20-Ao\u00fbt, 7 4000 Li\u00e8ge - Belgique)"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matique, Universit\u00e9 de Li\u00e8ge, All\u00e9e de la d\u00e9couverte 12, Li\u00e8ge, B-4000, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"ULi\u00e8ge - Universit\u00e9 de Li\u00e8ge = University of Li\u00e8ge = Universiteit van Luik = Universit\u00e4t L\u00fcttich (Place du 20-Ao\u00fbt, 7 4000 Li\u00e8ge - Belgique)","institution_ids":["https://openalex.org/I157674565"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5099463983","display_name":"Pierre Stas","orcid":null},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]},{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["BE","FR"],"is_corresponding":true,"raw_author_name":"Pierre Stas","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matique, Universit\u00e9 de Li\u00e8ge, All\u00e9e de la d\u00e9couverte 12, Li\u00e8ge, B-4000, Belgium","D\u00e9partement de Math\u00e9matiques [Li\u00e8ge] (Grande Traverse, 12 Sart-Tilman 4000 Li\u00e8ge - Belgique)"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matique, Universit\u00e9 de Li\u00e8ge, All\u00e9e de la d\u00e9couverte 12, Li\u00e8ge, B-4000, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques [Li\u00e8ge] (Grande Traverse, 12 Sart-Tilman 4000 Li\u00e8ge - Belgique)","institution_ids":["https://openalex.org/I3019441195"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5001091827","https://openalex.org/A5062839992","https://openalex.org/A5084043218","https://openalex.org/A5099463983"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I154799132","https://openalex.org/I157674565","https://openalex.org/I3019441195","https://openalex.org/I4210163673","https://openalex.org/I44504214","https://openalex.org/I4647051"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":{"value":2880,"currency":"USD","value_usd":2880},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22322451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"130","issue":null,"first_page":"104224","last_page":"104224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9954000115394592,"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/T12029","display_name":"DNA and Biological Computing","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8808640837669373},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6302209496498108},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5630244016647339}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8808640837669373},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6302209496498108},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5630244016647339},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.ejc.2025.104224","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104224","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05214357v1","is_oa":false,"landing_page_url":"https://u-picardie.hal.science/hal-05214357","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"European Journal of Combinatorics, 2025, 130, pp.104224. ⟨10.1016/j.ejc.2025.104224⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1016/j.ejc.2025.104224","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104224","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W34101780","https://openalex.org/W69418090","https://openalex.org/W1871515479","https://openalex.org/W1974386361","https://openalex.org/W1975206223","https://openalex.org/W2015220146","https://openalex.org/W2016338222","https://openalex.org/W2033362178","https://openalex.org/W2052869910","https://openalex.org/W2113810617","https://openalex.org/W2148474999","https://openalex.org/W2153126460","https://openalex.org/W2158191017","https://openalex.org/W2475899077","https://openalex.org/W2784001390","https://openalex.org/W2807760945","https://openalex.org/W2913518517","https://openalex.org/W2953325968","https://openalex.org/W2963904557","https://openalex.org/W2963927623","https://openalex.org/W3040011684","https://openalex.org/W3084972717","https://openalex.org/W3169484896","https://openalex.org/W3195156705","https://openalex.org/W4205846616","https://openalex.org/W4292101339","https://openalex.org/W4381304063","https://openalex.org/W4393248030","https://openalex.org/W4399255537","https://openalex.org/W4408889707","https://openalex.org/W6605736909","https://openalex.org/W6636500890","https://openalex.org/W6692994255","https://openalex.org/W6747545711","https://openalex.org/W6751886534","https://openalex.org/W6869839277"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Return":[0],"words":[1],"are":[2],"a":[3,57],"classical":[4],"tool":[5],"for":[6,25,61],"studying":[7],"shift":[8,32,48],"spaces":[9],"with":[10],"low":[11],"factor":[12],"complexity.":[13],"In":[14],"recent":[15],"years,":[16],"their":[17],"projection":[18],"inside":[19],"groups":[20],"have":[21],"attracted":[22],"some":[23,77],"attention,":[24],"instance":[26],"in":[27],"the":[28,40],"context":[29],"of":[30,34,36,44,47,59,78,85],"dendric":[31],"spaces,":[33],"generation":[35],"pseudorandom":[37],"numbers":[38],"(through":[39],"welldoc":[41],"property),":[42],"and":[43,75],"profinite":[45],"invariants":[46],"spaces.":[49],"Aiming":[50],"at":[51],"unifying":[52],"disparate":[53],"works,":[54],"we":[55,70],"introduce":[56],"notion":[58],"stability":[60],"subgroups":[62],"generated":[63],"by":[64],"return":[65],"words.":[66],"Within":[67],"this":[68],"framework,":[69],"revisit":[71],"several":[72],"existing":[73],"results":[74],"generalize":[76],"them.":[79],"We":[80],"also":[81],"study":[82],"general":[83],"aspects":[84],"stability,":[86],"such":[87],"as":[88],"decidability":[89],"or":[90],"closure":[91],"under":[92],"certain":[93],"operations.":[94]},"counts_by_year":[],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-10-10T00:00:00"}