{"id":"https://openalex.org/W4412454823","doi":"https://doi.org/10.1016/j.aam.2025.102932","title":"On the rigidity of Arnoux-Rauzy words","display_name":"On the rigidity of Arnoux-Rauzy words","publication_year":2025,"publication_date":"2025-07-15","ids":{"openalex":"https://openalex.org/W4412454823","doi":"https://doi.org/10.1016/j.aam.2025.102932"},"language":"en","primary_location":{"id":"doi:10.1016/j.aam.2025.102932","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aam.2025.102932","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-05396781","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079296049","display_name":"Val\u00e9rie Berth\u00e9","orcid":"https://orcid.org/0000-0001-5561-7882"},"institutions":[{"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"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"V. Berth\u00e9","raw_affiliation_strings":["Universit\u00e9 Paris Cit\u00e9, IRIF, CNRS, F-75013 Paris, France","IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)"],"raw_orcid":"https://orcid.org/0000-0001-5561-7882","affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9, IRIF, CNRS, F-75013 Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210091437","https://openalex.org/I1294671590","https://openalex.org/I4210117673"]},{"raw_affiliation_string":"IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)","institution_ids":["https://openalex.org/I4210117673","https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111752753","display_name":"Svetlana Puzynina","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. Puzynina","raw_affiliation_strings":["St. Petersburg State University, Russia","SPBU - Saint Petersburg State University (13B Universitetskaya Emb., St Petersburg 199034 - Russia)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"SPBU - Saint Petersburg State University (13B Universitetskaya Emb., St Petersburg 199034 - Russia)","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079296049"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210091437","https://openalex.org/I4210117673"],"apc_list":{"value":2670,"currency":"USD","value_usd":2670},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16753714,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"170","issue":null,"first_page":"102932","last_page":"102932"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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":1.0,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9983999729156494,"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/T12029","display_name":"DNA and Biological Computing","score":0.9976000189781189,"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":0.8551139831542969},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.7802631258964539},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4328885078430176},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.03781351447105408},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.033006757497787476}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8551139831542969},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7802631258964539},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4328885078430176},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.03781351447105408},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.033006757497787476}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.aam.2025.102932","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aam.2025.102932","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05396781v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05396781","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Advances in Applied Mathematics, 2025, 170, pp.102932. &#x27E8;10.1016/j.aam.2025.102932&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-05396781v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05396781","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Advances in Applied Mathematics, 2025, 170, pp.102932. &#x27E8;10.1016/j.aam.2025.102932&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G2199791005","display_name":null,"funder_award_id":"23-11-00133","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W61437942","https://openalex.org/W146366225","https://openalex.org/W584208200","https://openalex.org/W1497399181","https://openalex.org/W1633035226","https://openalex.org/W1968405302","https://openalex.org/W1978101725","https://openalex.org/W1992226149","https://openalex.org/W2005055946","https://openalex.org/W2008689324","https://openalex.org/W2021783567","https://openalex.org/W2027342596","https://openalex.org/W2040906951","https://openalex.org/W2062658001","https://openalex.org/W2086892580","https://openalex.org/W2146202307","https://openalex.org/W2147763027","https://openalex.org/W2180736549","https://openalex.org/W2187202169","https://openalex.org/W2763562065","https://openalex.org/W2802228513","https://openalex.org/W2963417818","https://openalex.org/W2964066418","https://openalex.org/W3106358809","https://openalex.org/W4293517843","https://openalex.org/W6617177439","https://openalex.org/W6678842740"],"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":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-07-16T00:00:00"}
